Find the measures of each angle

Question

An angle measures 2x+7 and its supplement measures 3x-17.

Answer 1

Supplementary angles sum to 180 degrees, so add the two angles together and set them equal to 180:

2x + 7 + 3x - 17 = 180

Solve for x. Once you have x, the first angle is 2x+7. The second angle is 180° minus the first angle.