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.

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