You can put this solution on YOUR website! the measures of an angle and its complement differ by twenty-two degrees. find the measures of the angles.
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If two angles are complementary, the sum of the two angles equals 90 degrees.
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Let x = lesser of two angles
then
x+22 = greater of two angles
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x + (x+22) = 90
2x + 22 = 90
2x = 68
x = 34 degrees
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Other angle:
x+22 = 34+22 = 56 degrees
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The measure of the two angles are 34 and 56 degrees.