Question

Given <3 and <4 are supplementary. If m<3 =5x+22 and m<4=7x+2, find the measures of each angle.

Answer 1

m<3 = 87

m<4 = 93

Explanation:

The sum of the measures of supplementary angles is 180 deg.

m<3 + m<4 = 180

5x + 22 + 7x + 2 = 180

12x + 24 = 180

12x = 156

x = 13

m<3 = 5x + 22 = 5(13) + 22 = 65 + 22 = 87

m<4 = 7x + 2 = 7(13) = 91 + 2 = 93