Question

Two angle are supplementary angle A has a measure of 3x+12 and angle B has a measure of 4x+28, what is the measure of each angle?

Answer 1

A measures 72 and B measures 108

Explanation:

If the angles are supplementary, that means that they add up to equal 180. 3x + 12 + 4x + 28 = 180. Doing some algebra there gives you that 7x = 140 and x = 20. Sub in 20 to angle A to get 3(20) + 12 = 72, and sub in 20 to angle B to get 4(20) + 28 = 108. And of course, 108 + 72 = 180.