SOLUTION: find measure of an angle that is half as large as its complement

Algebra ->  Angles -> SOLUTION: find measure of an angle that is half as large as its complement       Log On


   

Question 507571: find measure of an angle that is half as large as 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 complement is (90-A), so...
A+=+%281%2F2%29%2890-A%29 Simplify. Multiply by 2.
2A+=+90-A Add A to both sides.
3A+=+90 Divide by 3.
A+=+30degrees.