SOLUTION: The degree measure of one of two supplementary angles is 6 more than one-half that of the other. What is the degree measure of the smaller angle?

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Question 1173237: The degree measure of one of two supplementary angles is 6 more than one-half that of the other. What is the degree measure of the smaller angle?

Found 2 solutions by ewatrrr, MathTherapy:
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi
The degree measure of one of two supplementary angles is 6 more than one-half that of the other ( other being x degrees).
(x/2 + 6) + x = 180°
(3/2)x = 174
x = (2/3)174
x = 116°
Smaller angle is (180-116) = 64°
checking our answer:
(x/2 + 6) + x = 180°
116°/2 + 6° + 116°= 180° checks!
Wish You the Best in your Studies.

Answer by MathTherapy(10555) (Show Source):
You can put this solution on YOUR website!

The degree measure of one of two supplementary angles is 6 more than one-half that of the other. What is the degree measure of the smaller angle?

Let smaller angle be A
Then larger angle = 180 - A
We then get:
2A = 180 - A + 12 ------ Multiplying by LCD, 2
3A = 192
Smaller angle, or