SOLUTION: An angle exceeds one-half its complement by 12 degrees. Find the angle

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Question 349423: An angle exceeds one-half its complement by 12 degrees. Find the angle
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angle be A, then...
A+=+%28%2890-A%29%2F2%29%2B12 "An angle (A) exceeds one half its complement (%2890-A%29%2F2) by 12 degrees (%28%2B12%29)".
A+=+%28%2890-A%29%2F2%29%2B12 Multiply through by 2.
2A+=+90-A%2B24 Add A to both sides.
3A+=+90%2B24 Simplify.
3A+=+114 Divide both sides by 3.
A+=+38
The angles is 38 degrees.