SOLUTION: The measures of two supplementary angles have a ratio of 3:5. What is the measure of the smaller angle?

Algebra ->  Angles -> SOLUTION: The measures of two supplementary angles have a ratio of 3:5. What is the measure of the smaller angle?      Log On


   

Question 1114386: The measures of two supplementary angles have a ratio of 3:5. What is the measure of the smaller angle?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x%2By=180%2Cy%2Fx=5%2F3%29 but not the only way to start.

ONE VARIABLE SOLUTION
Angles are 3n and 5n.
3n%2B5n=180
8n=180
n=22.5

The angles are 67.5 and 112.5 degrees each.