SOLUTION: The ratio of an angle's complement to its supplement is 3: 13. How large is the angle?

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Question 1148524: The ratio of an angle's complement to its supplement is 3: 13. How large is the angle?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The ratio of an angle's complement to its supplement is 3: 13.
How large is the angle?
:
%28%2890-A%29%29%2F%28%28180-A%29%29 = 3%2F13
3(180-A) = 13(90-A)
540 - 3a = 1170 - 13A
-3A + 13A = 1170 - 540
10A = 630
A = 63 degrees is the angle
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Check
27%2F117 reduces to 3%2F13