The angle which is equal to 5 times its supplement is " This is true! R^2 Dr. Given that the angle is three times its supplement, we have x = 3 (180 - x). Rapalje, Retired Seminole State College of Florida Altamonte Feb 23, 2025 · Solution For 12. The supplement of this angle is 120 degrees, which is 4 times its complement of 30 degrees. Let's start by defining the angle. Set Up the Equation: According to the problem, the angle x is five times its supplement. You’ll notice that when this pair of angles are adjacent, they form a straight angle. 120° D. Best and clearest answer which is understandable will be Brainliest :) Jul 23, 2025 · The angles don’t need to be next to each other to be considered supplementary, they can be separate as long as their sum equals 180°. Rearrange the Equation: 6. The measure of the angle is (a) 130 ° (b) 135 ° (c) 90 ° (d) 120 ° 50% studentsanswered this correctly Check Solution Hint Solve with us Find the angle, if its supplement is three times of its complement. Then, the angle will be 5 × x = 5x Now, 5x + x = 180° 6x = 180° x = 180°/6 x = 30° Now, 5x = 5 × 30 = 150° Explore all similar answers arrow right heart outlined Find the angle whose supplement is four times its complement. Complete step-by-step answer: Let us assume the first angle to be x and the other angle to be 2x. Question 159153: "find the measure of an angle its measure is 5 times as large as its supplement" "find the measure of an angle if its measure is 10 more than four times its complement" Answer by nerdybill (7384) (Show Source): May 23, 2025 · Learn what complementary and supplementary angles are, how to find them, and reinforce your skills with practical examples and a quick quiz. Now apply the definit Study with Quizlet and memorize flashcards containing terms like Find the measure of an angle that is four hundred twenty less than three times its supplement. So, we can write an equation: x = 5 (90 - x). Solving for ( x ), we get ( 180 = 6x ), which means ( x = 30 ) degrees. According to the problem, one angle is three times its supplement: x =3(180∘−x). - Secondary School Mathematics For Class 9 Apr 28, 2022 · Set the sum of the two angles equal to 90 and solve for x. Distribute 2 on the right side. Therefore, the measure of the angle is 30 degrees. 3x = 360 - 2x Add 2x to both sides. Complete step-by-step solution - We have to find the angle which is equal to its supplement. According to the problem, the angle is one-fifth of its supplement. Let one angle be x. Study with Quizlet and memorize flashcards containing terms like The complement of an angle is 15 more than twice the angle. Possibilities of a supplementary angle An acute and obtuse angle A supplementary angle can be composed of one acute angle and another . Let x be the angle, let 90-x be its complement, let 180-x be its supplement. Then the other angle will be equal to 3x. x+3x =180 4x = 180 x = 180/4 x = 45 degrees for the smaller angle. What is the measure of the smaller angle? If the sum of two angles equals `90°`, they are termed complementary angles. Jun 3, 2018 · 1. Step 3 The complement Hence, the angle which is four times its complement is 72 degrees. An angle is equal to 5 times its complement. Something I've found odd while studying proofs of these theorems are the statements that the sine/cosine of an angle is equal to its supplement. Question 212985 This question is from textbook Geometry for the ejoyment and challenge : the supplement of an angle is four times the complement of the angle. Find the measure of the supplement. pw. For angles to be called supplementary, they must add up to 180° and appear in pairs. Jun 15, 2018 · Since, an angle is 5 times its supplement ⇒ x° = 5 (180-x°) ⇒ x° = 900° - 5x° ⇒ x° + 5x°= 900° ⇒ 6x° = 900° ⇒ x = 900/6 = 150° Supplement of x is 180-x° is 30° The angle is 150° and its supplement is 30° where an angle is 5 times its supplement. Let the supplementary angle be x. (180° - x) is equal to 2x 180 - x = 2x Add x to each side. 180 - 45 = 135 degrees for the larger angle. Find the measure of the angle and its supplement? Answer by Leaf W. Given : One angle is equal to three times its supplement. Find the Supplement: 3. Since they are on the same side of a transversal intersecting two Find the measure of an angle which is (i) equal to its complement, (ii) equal to its supplement. For question 10, let the two interior angles be 2y and 3y. Step 2/8 2. This was found by setting up an equation based on the relationship between the angle and its supplement. Sep 21, 2020 · Find an answer to your question If the complement of an angle is equal to the supplement of four times the angle,then find the measure of the angle. There can be two or more angles in a group of complementary angles. An angle is equal to 5 times its complement,determine its measure ? Step 1. The measure of an angle that is nine times its supplement can be written as: x = 9 (180 - x) You can then solve for the measure of the angle x: x = 1620 - 9x 10x = 1620 x = 162 Therefore, that angle which is nine times its supplement is itself 162 degrees. If the supplement of an angle is two-third of itself. , The supplement of an angle is twenty-three more than two times its complement. Find its measures 2. Now we know that the sum of Mar 22, 2022 · Step 1/8 1. Find the measure of the complement Dec 16, 2021 · The angle measures 36 degrees, and its supplement measures 144 degrees. The Supplementary angles are two angles whose sum is degrees. \ ( 145^ {\circ} \) Nov 16, 2018 · For example, if the angle is 30 degrees, its complement would be 60 degrees, and its supplement would be 150 degrees. The angle is 15 degrees and its complement is 75 degrees. We found these values by setting up equations based on the definitions of complementary and supplementary angles. Here, one of the angles is x and the other angle is 3x. View Solution Free Complementary and Supplementary Angles Calculator - This calculator determines the complementary and supplementary angle of a given angle that you enter OR it checks to see if two angles that you enter are complementary or supplementary. The angle which is five times its supplement is stimes complement. Answer by BurningFlame_marc (77) (Show Source): You can put this solution on YOUR website! Five times the complement of an angle less twice the angle's supplement is 40 degrees. What is the angle?" x = the angle 90 - x = complement {complementary angles add up to 90 } 180 - x = supplement {supplementary angles add up to 180 } 180 - x = 5 (90 - x) {supplement is 5 times its complement} 180 - x = 450 - 5x {used distributive property} -x = 270 - 5x {subtracted 180 from Oct 29, 2017 · It is given to us that one angle is equal to three times its supplement. Sep 26, 2025 · In summary, the angle that is five times its supplement is 150 degrees, with its supplement being 30 degrees. \ ( 135^ {\circ} \)c. Its supplement will then be (180∘−x). Step 2 The supplement of the angle is 180∘−x degrees. Let the angle be P. Submitted by Kyle R. (a) 1500 (b) 180 (c) 90 222 7. live Aug 18, 2018 · One angle is equal to three times its supplement the measure of an angle is See answer Advertisement aayush0414 Oct 10, 2024 · Concepts: Angles, Supplementary angles, Algebra Explanation: Let the measure of the angle be x. 75 + 15 = 90. Understanding Complements: The complement of an angle is the amount that when added to the angle equals 90 degrees. For instance, if you have one angle measuring 30 degrees, its supplementary angle would measure 150 degrees, because 30 plus 150 equals 180 degrees. BYJU’S online Supplementary angle calculator tool makes the calculation faster, and it displays the answer in a fraction of seconds. The measure of the angle is (a) 130^∘ (b) 135^∘more Find the measure of an angle, if four times of its complement is 12o more than twice the difference between its supplement and complement. Expand the Equation: 5. Check: "The supplement is 4 times the complement. Each angle is called a supplement of the other. Solution, The angle whose supplement is 4 times its complement is 60°. Ans: Hint: To solve the question, we have to assume an angle and apply the definition of complementary angles; we will get an equation in terms of the assumed angle. Step 3/8 3. Step 4/8 4. The complement of angle P is 90-P. Here we will assume one angle to be x and another angle to be 2x and then solve for the value of x. It is given that : Angle = 3 × its supplement x = 3 (180° – x) x = 540° – 3x x An angle is equal to five times its complement. According to the problem, "the measure of an angle is 5 times its complement". Step by Step Solution: Step 1 Let the angle be x degrees. . 150° Jul 9, 2025 · Concepts Linear Equations in One Variable, Supplementary Angles Explanation Supplementary angles are two angles whose sum is 180∘. If you enjoyed this video please consider liking, sharing, and subscribing. Therefore, we can write the equation as: x= 51(180∘−x) To solve for x, we first multiply both sides by 5 to eliminate the fraction: 5x= 180∘−x Next, we add x to both sides to To ask Unlimited Maths doubts download Doubtnut from - https://goo. 3x = 180 x= 60 the angle The complement is 90-x = 30 degrees The supplement is 180-x = 120 degrees Answer the question: "Find the measure of the complement. The supplement of an angle is what, when added to it, equals 180 degrees. in/question/5303450 brainly. Let one angle be x and another angle in supplement The measure of a complement and a supplement of the angle x are (90° - x) and (180° - x) respectively. Concepts: Supplementary angles, Complementary angles, Linear equations Explanation: To find the angle whose supplement is four times its complement, we need to set up and solve an equation based on the definitions of supplementary and complementary angles. Find the Angles. 45*3 = 135. Step-By-Step Solution Step 1 Let the required angle be x Aug 27, 2024 · The measure of the angle is 45 degrees, and the measure of its supplement is 135 degrees. Therefore, x + x = 180 o [Supplementary angles] ⇒ 2 x = 180 0 ⇒ x = 180 o 2 = 90 o Thus, 90 o is equal to its supplement. Note: In general, when we are asked to find the angle which is n times its complement (here, n can be any value like 1,2,3,4 and so on). 180-P = 5 (90-P) Simplifying the equation, we get: 180-P = 450-5P Combining like terms, we get: 4P = 270 Dividing both sides by 4, we get: P = 67. in/question Apr 22, 2020 · selected Apr 22, 2020 by Vevek01 Best answer Consider the required angle as x° We know that the supplement can be written as 180° – x° x° = 5 (180° – x°) We can also write it as x = 900 – 5x So we get 6x = 900 By division we get x = 900/6 x° = 150° Therefore, the angle which is five times its supplement is 150° ← Prev Question This means that the complement of 85° is 5°, since they add up to equal 90 degrees a right angle. View Solution Mar 7, 2025 · To find the size of an angle that is five times its supplement, we can follow these logical steps: The supplement of an angle is what, when added to the angle, equals 180 degrees. View Solution Q 3 An angle is equal to 5 times its Complement. You can put this solution on YOUR website! Five times the complement of an angle less twice the angle's supplement is 40 degrees. The supplement of the angle is 180∘−x. 📲PW App Link - https://bit. Supplement- Let the angle be x. The measure of the angle is (a) `130^0` ( Doubtnut 3. Supplementary angles form a straight angle (180 degrees) when they are put together as adjacent angles. For the first part, if you have an angle of 150°, its supplement would be 30° because 150° + 30° = 180°. Complementary angles means two angles add up to 90 degrees. Complementary create 90 degrees. In parallelogram CARS, Let us consider xandybe the supplementary angles xy1801 Letxbe an angle which is5times its supplement angle y x5y Buty180xfrom1 x5180x x51805x 6x5180 x530150 Hencex150 Thus option A is the correct answer Apr 28, 2022 · let x = measure of the mystery angle and y = measure of its supplement By definition of supplement, x+y = 180 since any angle and its supplement sum to a straight angle The problem gives us that 3x = y Substituting in 3x for y in the supplement equation gives us x + 3x = 180 4x = 180 x = 180/4 x = 45 Check our answer: The supplement of 45 degrees is 180 - 45 = 135. Given : The measure of an acute angle is equal to the difference between the measure of a supplement of the angle and twice the measure of a complement of the angle. Step-by-step explanation: An angle is created when two rays come from the same spot in opposite directions and a point from which two rays emerge in opposition and create an angle. Supplementary angles are those angles that sum up to 180 degrees. 60 = x So, the measure of the angle is 60°. Step 1. Let the angle be . For instance, if one angle measures \ (30^\circ\), its complementary angle would be `90° - 30° = 60°`. By solving the equation, we arrived at these measures. Proof: 45 + 3 x45=180 45 + 135 =180 180 = 180 Oct 7, 2017 · To determine the size of an angle and its supplement when the angle is four times the size of its supplement, we use the equation x = 4 (180 - x) and solve for x to find that the angle measures 144 degrees and its supplement measures 36 degrees. asked • 12/08/16 The measure of the supplement of an angle is 5 times that of its complement. (1) As, a and b are supplementary Apr 28, 2022 · What is the measure of an angle whose supplement is three times its measure? let x = measure of the mystery angle and y = measure of its supplement By definition of supplement, x+y = 180 since any angle and its supplement sum to a straight angle The problem gives us that 3x = y Substituting in 3x for y in the supplement equation gives us x + 3x = 180 4x = 180 x = 180/4 x = 45 Check our answer When an angle is equal to five times its supplement, we can represent this relationship algebraically. Solve for x: 7. 6 eg no 4 👉 • An angle is equal to 5 times its Complemen An angle is equal to one third of its Supplementary angles and complementary angles are defined with respect to the addition of two angles. Let the angle be 'x' Supplement of the angle be 180-x Complement of the angle be 90-x According to the given condition, we have (180-x) = 4 (90-x) 180-x = 360 - 4x -x+4x = 360-180 3x = 180 x = 60 Hence, the required angle is 60°. Dec 8, 2016 · Liam C. If the sum of two angles is 180 degrees then they are said to be supplementary angles, which form a linear angle together. Sep 18, 2021 · The angle is 20 degrees, and its supplement is 160 degrees. Therefore, the One angle is equal to three times its supplement. Solving this equation gives the measure of the angle. , The supplement of an angle is 12 less than 3 times the angle. Complementary angles are those angles when they add up to 90 degrees. And the other angle will be five times its supplement. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Udemy Jun 27, 2025 · Let the angle be ( x ). According to the problem, the supplement is five times the angle, so we can set up the equation: ( 180 - x = 5x ). gl/9WZjCW The measure of an angle is 3 times its supplement, then find an angle. Find the angle and its complement. What is the supplement of this angle? Two angles are supplementary. Determine its measure. m. To find the angle which is five times its supplement, we can follow these steps: 1. Jul 29, 2016 · Answer: x+3x = 180 4x = 180 X = 180/4 X = 45 degrees for the smaller angle. We know that supplementary angles are two angles whose sum is equal to 180 degrees. It is given that : Angle = 3 × its supplement x = 3 (180° – x) x = 540° – 3x x Find the angle which is equal to its supplement. Click here:point_up_2:to get an answer to your question :writing_hand:an angle is equal to 8 times its complement determine its measure 3 Mar 11, 2020 · Supplementary angles : Two angles, the sum of whose measure is 180° are called supplementary angles. " The answer to the problem is 30 degrees. QED Find the measure of an angle, if four times of its complement is 12o more than twice the difference between its supplement and complement. Ok first thing is to define supplementry angles. 📲PW App Link - https://bit. Now we can If 3 times the supplement of an angle is subtracted from 7 times the complement of the angle, the answer is the same as that obtained from trisecting a right angle. We found this by identifying the relationship between the angle and its supplement, setting up an equation, and solving for the unknown. 2. \ ( 130^ {\circ} \)b. This calculator has 3 inputs. The supplement of the angle is ( 180 - x ). Through algebraic manipulation, we determine both angle measures. Find the angle which is five times its supplement. e. 180 = 3x Divide each side by 3. Feb 21, 2019 · profile krrishkhedia report flag outlined Answer: Let the supplement angle be x. Step 4 Given, An angle is 5 times its supplement Let the angle be a and its supplement be b Then, a=5b. \ ( 120^ {\circ} \)d. Step 2. 3x = 2 (180 - x) Solve the equation for x. Define the Angle: Let the angle be x. So, the complement of "x" would be 90 - x. This question is from textbook Geometry for the ejoyment and challenge Found 2 solutions by drj, MathTherapy: Answer by drj (1380) (Show Source): Jun 17, 2024 · 1. 180 – 45 = 135 degrees for the larger angle. This particular angle's supplementary's partner is 4 times as large as its complementary's partner) This is the Solution of Question From RD SHARMA book of CLASS 9 CHAPTER LINES AND ANGLES This Question is also available in R S AGGARWAL book of CLASS 9 You Dec 11, 2023 · Solution For Find the angle which is five times its supplement. Given in the question: Angle is 5 times its supplement. Let’s denote the measure of the angle as x and its supplementary angle as 180− x. find its measure । Rd Sharma class9 page no 8. x = (180° - x) - 2 (90° - x) x = 180° - x - 180° + 2x x = x Choose the correct option: The measure of an angle which is 5 times its supplement is ___________ A. The problem states that five times the measure of the angle is equal to the sum of its complement and supplement: Let x be two equal angles of its supplement. Its complement is 5 (15) = 75 degrees. measure of supplement of the angle = 180° - x Given : The measure of supplement of the angle is equal to the twice the measure of the angle. Let's call it "x". The measure of the angle is 135°. View Solution Nov 3, 2022 · "three times the measure of an angle is equal to twice the measure of the angle's supplement" We translate the above statement into an equation, using x for one angle, and 180 - x for the supplement. According to the problem, the complement of the angle is equal to the supplement of twice the angle: 90 - x = 180 - 2x Simplifying the equation: 90 + x = 180 Subtracting 90 from both sides: x = 90 So, the measure of the angle is 90 degrees! Question 505668: an angle's measure is 5 degrees less than 3 times the measure of its supplement. An angle is equal to its supplement. We will solve this equation to find the required angle. Supplementary angles means two angles add up to 180 degrees. An angle is equal to 5 times its complement, find it's measures 3. When an angle is equal to five times its supplement, we can represent this relationship algebraically. Step 2: Define the supplement The supplement of the angle is given by: 180−x Step 3: Set up the equation According to the problem, the angle x is equal to three times its supplement: x =3 One angle is equal to three times its supplement. Sep 16, 2019 · Click here 👆 to get an answer to your question ️ one angle is equal to to three times its supplement. So lets set angle one equal to x and angle two equal to y Now we can say Ok now as you problem states we want to find the measure of an angle whose supplement is five times its measure. According to the problem, the measure of the first angle is five times the measure of its supplementary angle. This is because the angle (a) is equal to three times its supplement (b), and the sum of the angle and its supplement is 180°. The measure of the angle is:? The supplement of an angle x is equal to 180 - x. Question 100420: three times the measure of the supplement of an angle is equal to eight times the measure of its complement. x + x = 180 ∘ ⇒ 2 x One angle is equal to three times its supplement. Then Divide by 6 to both sides of equation to get x Step 4. This was found by solving the linear equation (x = 5 (180 - x)), resulting in (x = 150). (d) 360⁰ 13. Supplementary Angles If the measures of two angles sum up to 1 8 0 ∘ 180∘, they are called supplementary angles. This gives us the equation: x = 5(180− x) Expanding the Hint: The two angles whose sum is equal to 180 ∘ are supplement angles of each other i. For the second part, if you denote an angle as y and calculate its complement as 50°, then twice the angle would be 80°, and 80° minus 30° gives back 50°. Thus, each part is equivalent to 90 Solution : Let x be the measure of the angle. Dec 2, 2019 · Upload your school material for a more relevant answer The measure of the angle is 36 degrees, as three times its supplement (144 degrees) equals eight times its complement (54 degrees). If the complement of an angle is equal to the supplement of twice times the angle, then find the measure of the angle. According to the problem, 180-P is equal to five times (90-P). An angle is equal to five times its complement. Find the measure of an angle, if seven times its complement is 10° less than three times its supplement. Then the measure of its supplement is (180° – x). Feb 24, 2017 · To find the measure of the angle that is 5 times as great as the measure of its complement, let's start by defining the variables involved. (1) As, a and b are supplementary Apr 28, 2022 · What is the measure of an angle whose supplement is three times its measure? let x = measure of the mystery angle and y = measure of its supplement By definition of supplement, x+y = 180 since any angle and its supplement sum to a straight angle The problem gives us that 3x = y Substituting in 3x for y in the supplement equation gives us x + 3x = 180 4x = 180 x = 180/4 x = 45 Check our answer Sep 24, 2020 · I am assuming that you are looking for what the angle and its supplements are. 5x = 360 Divide both sides by 5. The measure of the angle isa. Jan 10, 2017 · For a better understanding, consider that the angle's supplement is 120 degrees (since 180 - 60 = 120) and the complement is 30 degrees (since 90 - 60 = 30). Which is: Two angles are called supplementary angles if the sum of their degree measurements equals 180 degrees. Therefore, we can write the equation: 4. Apr 28, 2022 · What is the measure of an angle if twice the measure of its supplement is 30 more than fivr times the measure of complement? Angle is x degrees. Using this theory we will make an equation and create a second equation from the relationship of these angles mentioned in the question. * Two Angles are Supplementary when they add up to 180 degrees. Similarly, complementary angles add up to 90 degrees. (135) (Show Source): Question 212985 This question is from textbook Geometry for the ejoyment and challenge : the supplement of an angle is four times the complement of the angle. Proof: 45+3*45 = 180 45+135 = 180 180/2 = 90 One angle is 3 times its supplement increased by 68 degrees. Jun 4, 2023 · Answer: Step-by-step explanation: As we know that, Complementary angles are two angles whose sum is (a right angle). This confirms that our calculations are correct. Aug 29, 2019 · To find the measures of two supplementary angles where one is five times the other, set up the equation x + 5x = 180, solve for x to get 30 degrees for the smaller angle, and then multiply by 5 to get 150 degrees for the larger angle. We divide 90 into n+1 parts equally (in the above problem, since n was 4, we divide 90 into 4+1=5 parts). (135) (Show Source): Mar 21, 2017 · To find the measure of an angle whose supplement is three times its complement, we can set up an equation based on the definitions of supplementary and complementary angles. An angle is one-fifth of its supplement find the measure of the angle Two angles are said to be supplementary angles if they add up to 180 degrees. One angle is 5 degrees less than four times the other. This question is from textbook Geometry for the ejoyment and challenge Found 2 solutions by drj, MathTherapy: Answer by drj (1380) (Show Source): If the supplement of an angle is two-third of itself. According to the problem, the supplement (120) should equal 4 times the complement (4 * 30 = 120), which confirms our solution is correct. x Oct 5, 2022 · The supplement of the angle, which is the amount that when added to the angle equals 180 degrees, can be expressed as 180−x. Sep 12, 2018 · Find the measure of an angle if five times its complement is equal to two times of its supplement 1 See answer Although the angle measurement of straight is equal to 180 degrees, a straight angle can’t be called a supplementary angle because the angle only appears in a single form. Therefore, Now, Find the measure of an angle if five times its complement is 12° less than twice its supplement. In this scenario, the supplement (150) is not equal to 6 more than 4 times the complement (6 + 4*60 = 246), demonstrating that different angles provide different results. This does not seem intuitive to me and I'm having a hard time understanding how the sine of a 45 degree angle can equal the sine of a 135 degree angle. If two angles are supplementary then their sum is equal to 180 degrees. Find the measure of the two supplementary angles. The relationship is such that the supplement is four times the angle. . 30° B. - Secondary School Mathematics For Class 9 One angle is equal to three times its supplement. If ∠ a + ∠ b = 180 ∘ then ∠ a and ∠ b are supplements of each other. Let the angle be x, put x + x = 180 ∘, and then find the value of x to solve the question. 60° C. Jun 6, 2021 · The angle is 60 degrees. This is found by setting up an equation based on the relationship provided in the problem. Dec 7, 2020 · The Supplement is Three Times Greater than the Other Angle. Now, assume two angles as x and y and use the given information to make two equations between them and sol Oct 4, 2024 · Concepts: Supplementary angles, Transversals and parallel lines Explanation: For question 9, let the angle be x. To know more, click here: brainly. How many degrees are there in an angle which equals one-fifth of its supplement? Oct 4, 2024 · Concepts: Supplementary angles, Transversals and parallel lines Explanation: For question 9, let the angle be x. Jul 31, 2024 · The supplement of an angle is 180 - x. Supplementary angles are two angles that add up to 180 degrees. ly/PW_APP📌 PHYSICS WAL Something I've found odd while studying proofs of these theorems are the statements that the sine/cosine of an angle is equal to its supplement. Mar 6, 2020 · To find, We have to find the angle. Mar 11, 2022 · Find the angle which is equal to its supplement. The supplement of an angle is one-third of itself find the angle and supplement. Supplementary Angle Calculator is a free online tool that displays the supplementary angle for the given angle measure. Robert J. Please guys, I need it for the exam and don't write only if you know the answer. Assuming the measure of an angle be x. The supplement of twice the angle is 180 - 2x. An angle is one-third of its supplement. Sep 9, 2023 · The angle is 36 degrees; its complement is 54 degrees, and its supplement is 144 degrees. 5 Apr 29, 2015 · 180 - x = 4 (90-x) (supplementary angles add together to make 180 degrees. Ans: Hint:First of all try to recollect what complementary angles are. ly/YTAI_PWAP 🌐PW Website - https://www. Nov 1, 2023 · The **measure **of an angle that's three times its supplement is 135 degrees. Jun 15, 2018 · Answer: The angle is 150° and its supplement is 30° where an angle is 5 times its supplement. Step 3. Its complement is . Mar. Mar 11, 2020 · Supplementary angles : Two angles, the sum of whose measure is 180° are called supplementary angles. Supplement of x is 180-x°. View Solution Q 3 Dec 11, 2023 · Solution For Find the angle which is five times its supplement. We know that the complement of an angle is the angle that, when added to the original angle, equals 90 degrees. Find the measure of the complement. Supplementary angles are those types of angles that sum up to 180 degrees. The two supplementary angles, if joined together, form a straight line and a straight angle. Then 2 (180 - x) = 5 (90 - x) + 30 360 - 2x = 450 - 5x + 30 3x = 120 x = 40 Check: supplement is 140, 2 x 140 = 280 complement is 50, 5 x 50 = 250 difference is 30 as required. 21, 2023 04:28 p. One angle is equal to three times its supplement. Determine the angle and its supplement. Question 159153: "find the measure of an angle its measure is 5 times as large as its supplement" "find the measure of an angle if its measure is 10 more than four times its complement" Answer by nerdybill (7384) (Show Source): Jul 31, 2024 · The supplement of an angle is 180 - x. Its supplement is . Hint – Supplementary angles are the angles whose sum is equal to 180 degrees, so to find the supplement of any angle put the sum equal to 180 degrees. Together, they add up to 180 degrees. #rajumathwala #lines_and_angles #mathclass7 Jul 21, 2021 · The measures of the two angles are 20 degrees and 160 degrees, from the equation established stating that 4 times the original angle is equal to half its supplement. 83M subscribers 100 You can put this solution on YOUR website! "A certain angle has a supplement 5 times its complement. ly/PW_APP🌐PW Website - https://bit. By defining the angle as x degrees and its supplement as 180^\circ - x degrees, we can set up an equation and solve for the angle’s measure. Let’s start work by converting the statement into multiple equations and then solve them. Let x be the angle and let 5x be its complement. Their sum is equal to 180 degrees. So, = 180-x = 4* (90-x) = 180-x = 360-4x = x=180/3 = x=60 degree Hence, If the supplement of an angle is times of its compliment, then the measure of the The measure of the angle is 135°. Aug 18, 2020 · To solve the problem, we need to understand what supplementary angles are. The supplement of angle P is 180-P. Its supplement is 180 - x. To solve the problem where one angle is equal to three times its supplement, we can follow these steps: Step 1: Define the angle Let the angle be x degrees. Twice the angle is 2x. find the angle, its complement, and its supplement. 5x + x = 90 6x = 90 x = 15 The angle is 15 degrees. Let the measure of the given angle be 'x' .