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When angles are complementary, the sum of their measures is 90 degrees.Two complementary angles have measures of 2x-10 degrees and 3x-10 degrees. Find the measures of each angle?

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Complementary angles are those angles whose sum is 90 degree.

The measurement of two complementary angles are


(2x-10), (3x-10)

There sum have to be 90 degree. That is


2x-10+3x-10 = 90

Combining like terms ,


5x - 20 = 90

Moving 20 to right side


5x=110

Dividing both sides by 5


x =22

So the measurement of the angles are


2*22-10 , 3*22-10  \\ 34 degree,  56 degree

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