SOLUTION: If the complement of an angle is 5° less than one-sixth of its supplement, find the measure of the angle.

Algebra ->  Angles -> SOLUTION: If the complement of an angle is 5° less than one-sixth of its supplement, find the measure of the angle.      Log On


   

Question 211368: If the complement of an angle is 5° less than one-sixth of its supplement, find the measure of the angle.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angle be A, its complement is (90-A) and its supplement is (180-A), then:
90-A+=+%281%2F6%29%28180-A%29-5 Simplify and solve for A. Add 5 to both sides.
95-A+=+%281%2F6%29%28180-A%29 Multiply both sides by 6.
570-6A+=+180-A Add 6A to both sides.
570+=+180%2B5A Subtract 180 from both sides.
390+=+5A Divide both sides by 5.
78+=+A
The angle is 78 degrees.