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

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Question 1176268: the measure of the complement of angle is 12 more than twice the measure of angle find the measures of the angles.
Answer by Theo(13342) About Me  (Show Source):
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let x be the angle.
let y be the complement.

the formula is y = 2x + 12.

since the angles are complements, their sum is 90, so you get:

x + 2x + 12 = 90
subtract 12 from both sides of the equation and combine like terms to get:
3x = 78.
solve for x to get:
x = 78/3 = 26 degrees.

the complement is 12 more than twice this = 2 * 26 + 12 = 52 + 12 = 64 degrees.
their sum is 26 + 64 = 90.