# SOLUTION: The measure of an angle is 20 less than 3 times its supplement. How would you write this in an equation?

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 Geometry: Angles, complementary, supplementary angles Solvers Lessons Answers archive Quiz In Depth

 Question 623817: The measure of an angle is 20 less than 3 times its supplement. How would you write this in an equation?Answer by math-vortex(472)   (Show Source): You can put this solution on YOUR website!```Hi, there-- The Problem: The measure of an angle is 20 less than 3 times its supplement. Write this in an equation. A Solution: Two angles form a supplementary pair when the sum of their measures is 180 degrees. Let x be the measure of the first angle. Then the measure of the second angle will be 180-x since x + (180-x) = 180. . We know that the measure of the smaller angle is 20 less than 3 times its supplement. [the measure of the first angle] = 3 * [the measure of the second angle] - 20 An equation representing this relationship is: x = 3*(180-x) - 20 Solving for x, we have x = 540 - 3x -20 x = 520 - 3x 4x = 520 x = 130 The first angle has a measure of 130 degrees. The second angle is its supplement so it has a measure or 180-130=50 degrees. We need to check that these measures satisfy all the criteria of the problem. 3 times the second angle is 3*50=150, and 130 is 20 less than 150. Check! Feel free to email me if you have questions about this solution. Ms.Figgy math.in.the.vortex@gmail.com ```