SOLUTION: One of two supplementary angles is 20° more than one-third of the other angle. Find the measure of each of the angles.

Algebra ->  Angles -> SOLUTION: One of two supplementary angles is 20° more than one-third of the other angle. Find the measure of each of the angles.       Log On


   

Question 211260: One of two supplementary angles is 20° more than one-third of the other angle. Find the measure of each of the angles.
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let x, and y be supplemental angles with y= 180-x
.
x=20+y/3
.
x=20+(180-x)/3
.
x=20+ 60 -x/3
.
(4/3) x = 80
.
x= 60,,,,,,,,,,y=120
.
.
check 60=20+120/3 ,,,,,,ok
.