SOLUTION: The measure of one angle of a triangle is 56. The measure of the other two angles is in a ratio of 1:3. Find the measure of the other two.

Algebra ->  Angles -> SOLUTION: The measure of one angle of a triangle is 56. The measure of the other two angles is in a ratio of 1:3. Find the measure of the other two.      Log On


   



Question 844099: The measure of one angle of a triangle is 56. The measure of the other two angles is in a ratio of 1:3. Find the measure of the other two.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of one angle of a triangle is 56. The measure of the other two angles is in a ratio of 1:3. Find the measure of the other two.
***
let x= one of two angles
let y= other angle
x+y+56=180
x+y=180-56=124
y=124-x
x%2Fy=1%2F3=x%2F%28124-x%29
3x=124-x
4x=124
x=31
y=124-x=93
measure of the other two angles: 31˚ and 93˚