SOLUTION: two angles are supplementary. three times the measure of the smaller angle is five less than twice of the measure of the larger angle. find the measure of esch angle.

Question 465975: two angles are supplementary. three times the measure of the smaller angle is five less than twice of the measure of the larger angle. find the measure of esch angle.
Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!
Supplementary angles add to 180 degrees.
let smaller angle be x, then
3x+5=2y
x+y=180
Multiply second equation by -3 then add it to the first one
3x-2y=-5
-3x-3y=-540 When you add them, the x's cancel out (because they add to zero)
**********
-5y=-545 divide each side by -5
y=109
if y is 109 then x would be
x=180-109=71
So the angles are 71 and 109
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