SOLUTION: If the complement of an angle is 27° less than one-half of its supplement, find the measure of the angle.

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Question 491820: If the complement of an angle is 27° less than one-half of its supplement, find the measure of the angle.
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
90 - x + 27 = 1/2(180 - x)
90 - x + 27 = 90 - 1/2x
117 - x = 90 -1/2 x
27 = 1/2x
54 degrees = x, This is our angle.
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36 degrees = complement.
126 degrees = supplement.
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126 / 2 = 63; 63 - 27 = 36.
This does check, Cleomenius.
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