SOLUTION: Two angles are supplementary. One is 60 more than three times the other. Find the measures of the angles.

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Question 691102: Two angles are supplementary. One is 60 more than three times the other. Find the measures of the angles.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Once again, two angles are supplements when they add up to 180.
This time we will have two equations.
Equation 1: A+%2B+B+=+180
Equation 2: A+=+60+%2B+3B
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Plug (60 + 3B) into equation 1 for A
Equation 1: A+%2B+B+=+180
%2860+%2B+3B%29+%2B+B+=+180
Combine like terms
60+%2B+4B+=+180
Subtract 60 from both sides
4B+=+120
Divide both sides by 4
highlight%28B+=+30%29
Now plug 30 into equation 2 for B
Equation 2: A+=+60+%2B+3B
A+=+60+%2B+3%2A%2830%29
Simplify
A+=+60+%2B+90
highlight_green%28A+=+150%29