SOLUTION: please help me solve this asap ! thanks. five times the complement of an angle less twice the angle's supplement is 40 degrees. find the measure of the supplement.

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Question 98407: please help me solve this asap ! thanks.
five times the complement of an angle less twice the angle's supplement is 40 degrees. find the measure of the supplement.

Found 2 solutions by stanbon, checkley71:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
five times the complement of an angle less twice the angle's supplement is 40 degrees. find the measure of the supplement.
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Let the angle be "x".
Its complement is "90-x"
Its supplement is "180-x"
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EQUATION:
5(90-x)-2(180-x) = 40
Solve for x
================
cheers,
Stan H.

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
5(90-X)-2(180-X)=40
450X-5X-360+2X=40
-3X=40-450+360
-3X=-50
X=-50/-3
X=16.667 ANSWER.
PROOF
5(90-16.667)-2(180-16.667)=40
450-83.333-360+33.33=40
450+33.333-360-83.333=40
483.333-443.333=40
40=40

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