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) About Me  (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°