Question

The measurement of the complement of an angle exceeds the measure of the angle by 25%. Find the measurement of the angle and its complement.

Answer 1

Let the angles be A and C

Complimentary angles, therefor
A + C = 90

The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees)
C = 1.25A

Substitute
A + 1.25A = 90
2.25A = 90
A = 40º <-----
C = 50º <-----
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If you meant 25º
A + (A + 25) = 90
2A + 25 = 90
2A = 65
A = 32.5º
C = 57.5º