SOLUTION: If the complement of an angle is 5° less than one-sixth of its supplement, find the measure of the angle.
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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) (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:
Simplify and solve for A. Add 5 to both sides.
Multiply both sides by 6.
Add 6A to both sides.
Subtract 180 from both sides.
Divide both sides by 5.
The angle is 78 degrees.
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