SOLUTION: an angle measures 34 degrees more than its complement what is the measure of the angle?

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Question 686990: an angle measures 34 degrees more than its complement what is the measure of the angle?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are complementary when they add up to 90 degress.
Set-Up:
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You have two angles. A & B
Equation 1: A+%2B+B+=+90
Equation 2: A+%2B+34+=+B
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Solution:
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Solve equation 1 for one of the variables
I solved for A
Equation 1: A+%2B+B+=+90
A+=+90+-+B
Now plug (90 - B) into equation 2 for A
Equation 2: A+%2B+34+=+B
%2890+-+B%29+%2B+34+=+B Simplify
124+-+B+=+B Add B to both sides
124+=+2B Divide both sides by 2
highlight%2862+=+B%29
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Now plug 62 into equation 1 for B
A+%2B+B+=+90
A+%2B+62+=+90
highlight_green%28A+=+28%29