SOLUTION: What is the measure of the larger angle of two supplementary angles if two fifths of the larger angle is 5 less than the smaller angle?

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Question 465599: What is the measure of the larger angle of two supplementary angles if two fifths of the larger angle is 5 less than the smaller angle?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Two angles are supplementary if they add up to 180 degrees.
let angles be alpha and beta, and alpha%3Ebeta
given:
two fifths of the larger angle is 5 less than the smaller angle
%282%2F5%29alpha+%2B+5=beta......1...substitute in 2

alpha%2B%282%2F5%29alpha+=180-5
%287%2F5%29alpha+=175
7alpha+=175%2A5
7alpha+=875
alpha+=875%2F7
alpha+=125


beta=%282%2F5%29alpha+%2B+5
beta=%282%2F5%29125+%2B+5
beta=%282%2Fcross%285%29%29cross%28125%2925+%2B+5
beta=2%2A25+%2B+5
beta=50+%2B+5
beta=55