SOLUTION: the supplement of an angle is 20 more than twice its complement. find the angle, supplement, and complement.

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Question 209157This question is from textbook
: the supplement of an angle is 20 more than twice its complement. find the angle, supplement, and complement. This question is from textbook

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = original angle
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Let y=complement,,,,,x+y=90,,,,y=90-x
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Let z=supplement,,,,x+z=180,,,,z=180-x
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given,,,,z=20 +2y,,,,,,,,,,substitute
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(180-x) =20 +2(90-x) = 20 +180 -2x
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x=20,,,,answer,,,,,y=70,,,,,,z=160,,,,all degrees
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check,,,,,160 = 20 +2(70),,,,,ok
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