SOLUTION: the measure of the complement of an angle is 12 more than twice the measure of the angle. find the measures of the angles.

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Question 381468: the measure of the complement of an angle is 12 more than twice the measure of the angle. find the measures of the angles.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Let x and (90°-x) represent the angle and its complement respectively
Write as we Read***
(90°-x) = 2x + 12°
solving for x
78 = 3x
26° = x, the angle. Its complement is 64° (90° -26°)
CHECKING our Answer***
64° = 52° + 12°



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