Question 186648: The supplement of an angle measures 37 degrees more than twice its complement. Find the measure of the angle. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! .
If two angles are supplementary, their angles add up to 180.
If two angles are complementary, their angles add up to 90.
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Let x = measure of the angle
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Supplement = 180-x
Complement = 90-x
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Finally, from: "The supplement of an angle measures 37 degrees more than twice its complement." we get:
180-x = 2(90-x) + 37
180-x = 180-2x + 37
-x = -2x + 37
x = 37 degrees
