Posted by **rhodora** on Friday, October 11, 2013 at 9:05am.

the ratio of the measure of the complementsof two angle is3:4while the ratio of the measure of their supplements is 9:10 find the measure of each angle.

- plss answer fast math algebra -
**Reiny**, Friday, October 11, 2013 at 9:46am
let one angle be x

let the other be y

then their complements are 90-x and 90-y

and their supplements: 180-x and 180-y

(90-x)/(90-y) = 3/4

270 - 3y = 360 - 4x

4x - 3y = 90 , #1

(180-x)/(180-y) = 9/10

1620 - 9y = 1800 - 10x

10x - 9y = 180 , #2

#1 times 3

12x - 9y = 270

subtract #2

2x = 90

x = 45

into #1

180 - 3y = 90

-3y = -90

y = 30

**so one angle is 45° and the other is 30°**

check:

their complements are 45 and 60

45 : 60 = 3:4

their supplements are 135 and 150

135:150 = 9:10

YEAHHH

## Answer this Question

## Related Questions

- fast answer plss - the sum of four angles about a point is 360degree.the measure...
- Algebra - In triangle ABC, the measure of angle B is 8 degrees more than three ...
- Math - Two complementary angles, A and B, have measures in the ratio of 7 to 23...
- Algebra 2 review - In triangle ABC, the ratio of the measure of angle A to the ...
- algebra 101 - If The sum of the measures of two complementary angles is 90° and ...
- Algebra II - The measure of the largest angle of a triangle is 90 more than the...
- Algebra - two angles are complimentary. The sum of the measure of the first ...
- algebraic equation and inaqualities - in a triangle XYZ,the measure of angle Y ...
- ALGEBRA :/ - Two antles are complimentary. The sum of the measure of the first ...
- algebra - two angles are complementary. the sum of the measure of the first ...

More Related Questions