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  

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