SOLUTION: A certain angle has a supplement 5 times its complement. What is the angle?
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Question 466649: A certain angle has a supplement 5 times its complement. What is the angle?
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"A certain angle has a supplement 5 times its complement. What is the angle?"
x = the angle
90 - x = complement {complementary angles add up to 90°}
180 - x = supplement {supplementary angles add up to 180°}
180 - x = 5(90 - x) {supplement is 5 times its complement}
180 - x = 450 - 5x {used distributive property}
-x = 270 - 5x {subtracted 180 from both sides}
4x = 270 {added 5x to both sides}
x = 67.5
67.5° is the angle
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