Math
posted by Anonymous .
The measure of an angle is 4 times the measure of its complement. What is the measure of the angle's supplement?

Math 
Ms. Sue
5x = 90
x = ? 
Math 
Anonymous
18

Math 
Ms. Sue
18 is the complementary angle. Now find the supplementary angle.
18 + X = 180
http://www.mathsisfun.com/geometry/supplementaryangles.html 
Math 
Reiny
let the angle be x
then its complement is 90x
x = 4(90x)
x = 360  4x
5x = 360
x = 72
so the angle is 72°
and its supplement is 18072 = 108°
check:
our angle = 72
its complement = 18
is the angle 4 times its complement ?
is 72 = 4(18) ? yes
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