SOLUTION: Find the measure of an angle whose supplement measures 38 degrees less than three times its complement.

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Question 98645: Find the measure of an angle whose supplement measures 38 degrees less than three times its complement.
Answer by malakumar_kos@yahoo.com(315) About Me  (Show Source):
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Find the measure of an angle whose supplement measures 38 degrees less than three times its complement.
Let the required angle be x degrees
its supplement will be 180-x
its compliment will be 90-x
the relation given is supplement = 3(compliment)-38 degrees
180-x = 3(90-x)-38
3x-x = 270-180-38
2x = 90-38 = 52
2x = 52 or x = 52/2 = 26 degrees
the required angle = 26 degrees