SOLUTION: The ration of an angle to its supplement is 3:7. Find the ratio of the angle to its complement.

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Question 158166: The ration of an angle to its supplement is 3:7. Find the ratio of the angle to its complement.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angle be A, then its supplement would be 180-A. The problem description states that the ratio of these two is 3:7, so...
A%2F%28180-A%29+=+3%2F7 Cross multiply.
7A+=+3%28180-A%29 Simplify.
7A+=+540-3A Add 3A to both sides.
10A+=+540 Divide both sides by 10.
A+=+54degrees.
Now you are to show the ratio of the angle A to its complement.
The complement of angle A is 90-A, so the ratio is:
A%2F%2890-A%29+=+54%2F%2890-54%29 = 54%2F36+=+highlight%283%2F2%29