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) About Me  (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