SOLUTION: Two angles are complementary. One of the angles is 13 degrees more than half the other. Find the two angles.

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Question 995813: Two angles are complementary. One of the angles is 13 degrees more than half the other. Find the two angles.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are complementary.
A + B = 90
One of the angles is 13 degrees more than half the other.
A = .5B + 13
Find the two angles.
In the first equation, replace A with (.5B+13)
(.5B + 13) + b = 90
1.5B = 90 - 13
B = 77/1.5
B = 511%2F3 degrees
then
A = .5(511%2F3) + 13
A = 382%2F3 degrees