SOLUTION: if angle A and angle B are complementry, and angle A=3x+4 and angle B=5x+6, find x.

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Question 133604: if angle A and angle B are complementry, and angle A=3x+4 and angle B=5x+6, find x.
Answer by solver91311(24713) About Me  (Show Source):
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If angle A and angle B are complementary, then the measure of A plus the measure of B = pi%2F2 or 90 degrees, depending on whether you are working in degrees or radians.

I'll do the problem in degrees and you can convert if you need to.

A+%2B+B+=+90
3x%2B4%2B5x%2B6=90
8x=90-10
8x=80
x=10
So angle A measures 3%2810%29%2B4=34 and angle B measures 5%2810%29%2B6=56.

Check:
34 + 56 = 90.