SOLUTION: Two angles are supplementary and one measures 60 degrees less than the other. Find the measure of the larger angle.

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Question 312559: Two angles are supplementary and one measures 60 degrees less than the other. Find the measure of the larger angle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=180
A=B-60
Substitute into the first equation,
%28B-60%29%2BB=180
2B-60=180
2B=240
highlight%28B=120%29
Then from the first equation,
A%2B120=180
highlight%28A=60%29
The larger angle measure 120 degrees.