SOLUTION: An angle measures 146.4° more than the measure of a supplementary angle. What is the measure of each angle?

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Question 700518: An angle measures 146.4° more than the measure of a supplementary angle. What is the measure of each angle?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are supplements when they add up to 180
Equation 1: A+%2B+B+=+180
Equation 2: A+=+B+%2B+146.4
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Plug (B + 146.4) into equation 1 for A
Equation 1: A+%2B+B+=+180
%28B+%2B+146.4%29+%2B+B+=+180
Combine like terms
2B+%2B+146.4+=+180
Subtract 146.4 from both sides
2B+=+33.6
Divide both sides by 2
highlight%28B+=+16.8%29
Now plug 16.8 into equation 2 for B
Equation 2: A+=+B+%2B+146.4
A+=+%2816.8%29+%2B+146.4
highlight_green%28A+=+163.2%29