SOLUTION: An angle is 9 more than half it’s supplement. Find the measure of the smaller angle.

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Question 1148334: An angle is 9 more than half it’s supplement. Find the measure of the smaller angle.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let x equal the value of the angle.
then 180 - x equals the value of the supplement.
formula becomes x = 1/2 * (180 - x) + 9
multiply both sides of this equation by 2 to get:
2x = 180 - x + 18
add x to both sides and combine like terms to get:
3x = 198
divide both sides by 3 to get:
x = 66
that's your angle.
the supplement is 180 - 66 = 114
the formula of x = 1/2 * (180 - x) + 9 becomes 66 = 114 / 2 + 9
you get 66 = 57 + 9 = 66, confirming that 66 degrees for the angle is correct.
your solution is that the smaller angle is 66 degrees.