Question

C. Two angles are supplementary. One angle measures 2° less than 3 times the other. What are the measures of the two angles?

Answer 1

C.

if x one of the angles, then, the other angle is 3x - 2. Due to these angles are supplementary, you can write:

x + 3x - 2 = 180

by solving for x you obtain:

x + 3x - 2 = 180 simplify like terms left side

4x - 2 = 180 add 2 both sides and divide by 4 both sides

4x = 180 - 2

4x = 178

x = 178/4

x = 44.5

the other angle is then:

3x - 2 = 3(44.5) - 2 = 131.5

Hence, the two angles are 44.5° and 131.5°