Question

Angle one and angle two are a linear pair . M angle one = 3x-30 , and angle two = x+76 . Find the measure of each angle .

Answer 1

linear pairs are supplementary so their sum equals 180°

(3x - 30) + (x + 76) = 180

4x + 46 = 180

4x = 134

x = 33.5

∠1: 3x - 30 = 3(33.5) - 30 = 70.5

∠2: x + 76 = (33.5) + 76 = 109.5

Answer: ∠1 = 70.5°, ∠2 = 109.5°