SOLUTION: Two angles are supplementary. The measure of one angle is 5 greater than 40% of the other. Find the measures of both angles.

Algebra ->  Angles -> SOLUTION: Two angles are supplementary. The measure of one angle is 5 greater than 40% of the other. Find the measures of both angles.      Log On


   



Question 944959: Two angles are supplementary. The measure of one angle is 5 greater than 40% of the other. Find the measures of both angles.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Two angles alpha and beta are supplementary and it means they add up to 180°.
so, alpha%2Bbeta=180 .........eq.1
if the measure of one angle (let’s say alpha) is 5 greater than 40% of the other beta, then we have
alpha=%2840%2F100%29beta%2B5....eq.2 .......substitute in eq.1
%2840%2F100%29beta%2B5%2Bbeta=180 ....solve for beta
0.40beta%2Bbeta=180-5
1.40beta=175
beta=175%2F1.40
highlight%28beta=125%29°
then alpha%2B125=180 =>alpha=180-125 =>highlight%28alpha=55%29°