SOLUTION: angles a and angle b are supplementary angles find the measure of each angle if angle a is 30 greater than angle b

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Question 707143: angles a and angle b are supplementary angles find the measure of each angle if angle a is 30 greater than angle b
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+30
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Plug (B + 30) into equation 1 for A
Equation 1: A+%2B+B+=+180
%28B+%2B+30%29+%2B+B+=+180
Combine like terms
2B+%2B+30+=+180
Subtract 30 from both sides
2B+=+150
Divide both sides by 2
highlight%28B+=+75%29
Now plug 75 into equation 2 for B
Equation 2: A+=+B+%2B+30
A+=+%2875%29+%2B+30
highlight_green%28A+=+105%29