Two angles are supplementary. The measure of one angle is twice the measure of the other plus 6. What is the measure of the smaller of the two angles?

Question

Two angles are supplementary. The measure of one angle is twice the measure of the other plus 6. What is the measure of the smaller of the two angles?

Answer 1

L=2S+6

L+S = 180

2S+6 + S = 180

3S = 174

S = 174/3 = 58 degrees

L = 180-58 = 122 degrees

122 = 2(58)+ 6

UNLESS maybe you meant L=2(S+6)

Then

2S+12 + S = 180

3S = 168

S = 36 degrees

L = 180-36 = 144 degrees

Odds are you want the first solution