SOLUTION: Please help me figure: Twice the supplement of an angle, decreased by 54 degrees is the same as 5 times its complement. Find the angle. -thank you

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Question 427697: Please help me figure: Twice the supplement of an angle, decreased by 54 degrees is the same as 5 times its complement. Find the angle.
-thank you

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Let (180-x) and (90-x) represent the supplement and complement of angle x respectively
Question states***
2(180-x)-54 = 5(90-x)
Solving for x
3x = 144
x = 48 degrees
CHECKING our Answer***
2* 122 - 54 = 5 * 42 = 210
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