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/supplementary-angles.html

- Math -
**Reiny**, Wednesday, April 9, 2014 at 8:02pm
let the angle be x

then its complement is 90-x

x = 4(90-x)

x = 360 - 4x

5x = 360

x = 72

so the angle is 72°

and its supplement is 180-72 = 108°

check:

our angle = 72

its complement = 18

is the angle 4 times its complement ?

is 72 = 4(18) ? yes

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