SOLUTION: The measure of the supplement of an angle exceeds three times the measure of half the compliment of the angle by 12. Find the measure of half the supplement

Question 255357: The measure of the supplement of an angle exceeds three times the measure of half the compliment of the angle by 12. Find the measure of half the supplement
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Let x be an angle.
180-x is the supplement.
90 - x is the compliment.
So, we get

By distributive prperty, we get

combining like terms on the right we get

and simplifying we get

The supplement of 66 is 114. Half of 114 is 57.
So answer is 57.
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