SOLUTION: A supplement of an angle is six times as large as a complement of the angle.

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Question 463385: A supplement of an angle is six times as large as a complement of the angle.
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"A supplement of an angle is six times as large as a complement of the angle."

x = the angle
180 - x = supplement of the angle {supplementary angles add up t0 180}
90 - x = complement of angle {complementary angles add up to 90}

180 - x = 6(90 - x) {supplement is 6 times the complement}
180 - x = 540 - 6x {used distributive property}
-x = 360 - 6x {subtracted 180 from both sides}
5x = 360 {added 6x to both sides}
x = 72

the angle is 72°

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