Two angles are supplementary that is, the sum of thier measures is 180. The measure of one angle is 30 more than twice the other.

Question

what is the measure of each angle.

Answer 1

This question can be solved by setting up two equations: 1) The first represents the two angles when added together. x + y = 180 2) The second represents the one angle in relation to the other. x = 2y + 30 (since one angle is 30 more than twice the other) Now substitute equation 2 into equation 1 (for x) and you get: (2y + 30) + y = 180 3y + 30 = 180 [combine like terms] 3y = 150 [subtract 30 from both sides] y = 50 [divide both sides by 3] We have now found the smaller of the 2 supplementary angles (angle y). Now plug 50 into equation 1 and you will have the measure of both angles. x + 50 = 180 x = 130