SOLUTION: I need help solving this problem as soon as possible . Half the supplement of an angle is 25 degrees less than three times the complement of the angle. Find the measure of the ang

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Question 691098: I need help solving this problem as soon as possible .
Half the supplement of an angle is 25 degrees less than three times the complement of the angle. Find the measure of the angle.

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are supplements when they add up to 180
Two angles are complements when they add up to 90
First, set up the equation
%28180-X%29%2F2+%2B+25+=+3%2A%2890-X%29
Now simplify the equation
90+-X%2F2+%2B+25+=+270+-+3X
Combine like terms
115+-X%2F2+=+270+-+3X
Add 3X to both sides
115+%2B+2.5X+=+270
Subtract 115 from both sides
2.5X+=+155
Divide both sides by 2.5
highlight%28X+=+62%29