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.
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