SOLUTION: find the measures of two supplementary angles if the measure of one angle is 5 less than 4 times the measure of the older

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Question 760544: find the measures of two supplementary angles if the measure of one angle is 5 less than 4 times the measure of the older
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+=+4B+-+5
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Plug (4B - 5) into equation 1 for A
Equation 1: A+%2B+B+=+180
%284B+-+5%29+%2B+B+=+180
Combine like terms
5B+-+5+=+180
Add 5 to both sides
5B+=+185
Divide both sides by 5
highlight%28B+=+37%29
Now plug 37 into equation 2 for B
Equation 2: A+=+4B+-+5
A+=+4%2A%2837%29+-+5
highlight_green%28A+=+143%29