A supplement of an angle is six times as large as a compliment of the angle. Find the measures of the angle, its supplement, and its compliment.

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- October 25th 2006, 05:52 PMeah1010this could be easy...but i dont know...angle question
A supplement of an angle is six times as large as a compliment of the angle. Find the measures of the angle, its supplement, and its compliment.

- October 25th 2006, 06:25 PMtopsquark
Call the angle x.

The supplement of x is 180 - x.

The compliment of x is 90 - x.

So, the supplement is 6 times as large as the compliment:

180 - x = 6(90 - x)

180 - x = 540 - 6x

5x = 360

x = 72

90 - x = 18

180 - x = 108

(All the previous angles are measured in degrees, of course.)

-Dan