SOLUTION: Among the two supplementary angles, the measure of the larger angle is 36° more than the measure of smaller. Find their measures.

Algebra ->  Angles -> SOLUTION: Among the two supplementary angles, the measure of the larger angle is 36° more than the measure of smaller. Find their measures.       Log On


   



Question 905455: Among the two supplementary angles, the measure of the larger angle is 36° more than the measure of smaller. Find their measures.

Found 2 solutions by rfer, Math_Boss:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+x+36=180
2x=180-36
x=144/2
x=72
x+36=108

Answer by Math_Boss(45) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=180 "two supplementary angles"
x=smaller angle
y=larger angle
y=x+36 "the measure of the larger angle is 36° more than the measure of smaller"
Substitute y=(x+36)
x+(x+36)=180
2x=144
x=72
y=72+36=108
Ans:108 and 72