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

## Answer This Question

## Related Questions

- Math help - 1. Find the measure of <s. 63‹ 153‹ 68‹ 148‹ 2. If a and b ...
- Geometry - The measure of angle B, the supplement of angle A, is four times the ...
- geometry - find the measure of an anGle if five times the measure of its ...
- geometry - I need help with this question. "The measure of the supplement of an ...
- algrbra - Complimentary angles add up to 90º So translate the English into Math...
- Geometry - the measure of the supplement of an angle is 40 more than two times ...
- geometry - Twice the measure of the supplement of an angle is 39 degrees less ...
- geometry - The measure of the angle’s supplement is 50 degree more than five ...
- Geometry! Please, HELP! - The measure of the complement of an angle is equal to ...
- Algebra - In triangle ABC, the measure of angle B is 8 degrees more than three ...

More Related Questions