SOLUTION: If the supplement of an angle is twenty more than twice its complement, what is the original angle, its complement, and its supplement?

SOLUTION: If the supplement of an angle is twenty more than twice its complement, what is the original angle, its complement, and its supplement?

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Question 1047045: If the supplement of an angle is twenty more than twice its complement, what is the original angle, its complement, and its supplement?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
angle is x
supplement is 180-x
complement is 90-x
180-x=2(90-x)+20
180-x=180-2x+20
the 180s cancel
-x=-2x+20
x=20 degrees, the angle
70 degrees is the complement
160 degrees is the supplement, and that is 20 more than twice the complement.
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