Question

Angle 1 and angle 2 form a linear pair. If the measure of angle 1 = (5x+9)º and

the measure of angle 2 = (3x+11)º, find the measure of each angle.
X =
angle 1 =
angle 2 =

Answer 1

- linear pairs are supplementary, meaning they add up to 180°

5x + 9 + 3x + 11 = 180

8x + 20 = 180

8x = 160

x = 20

- now plug in.

angle 1: 5(20) + 9 = 100 + 9 = 109°

angle 2: 3(20) + 11 = 60 + 11 = 71°