SOLUTION: The measure of an angle is 15 less than twice the measure of its complement. Find the measure of each angle.

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Question 507821: The measure of an angle is 15 less than twice the measure of its complement. Find the measure of each angle.
Answer by Earlsdon(6294) About Me  (Show Source):
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Let the angle be A:
The complement of A = (90-A).
A = 2(90-A)-15 "The measure of an angle is 15 less than twice the measure of its complement." Simplify this.
A = 180-2A-15
A = 165-2A Add 2A to both sides.
3A = 165 Divide both sides by 3.
A = 55