Question

One angle is eight times it’s supplement increased by 45 degrees. What is the measures of the two supplementary angles?

Answer 1

Angle 1 = 8x + 45
Angle 2 = x

x + 8x + 45 = 180
combine like terms

9x + 45 = 180
subtract 45 from both sides

9x = 135
divide both sides by 9 to isolate x

x = 15

Angle 1 = 8(15) + 45 = 165 degrees
Angle 2 = 15 degrees