Posted by Anonymous on Wednesday, April 9, 2014 at 7:41pm.
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, Wednesday, April 9, 2014 at 7:43pm
5x = 90
x = ?

Math  Anonymous, Wednesday, April 9, 2014 at 7:44pm
18

Math  Ms. Sue, Wednesday, April 9, 2014 at 7:48pm
18 is the complementary angle. Now find the supplementary angle.
18 + X = 180
http://www.mathsisfun.com/geometry/supplementaryangles.html

Math  Reiny, Wednesday, April 9, 2014 at 8:02pm
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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