Question 175051
Complementary angles are angle such that the sum of their measure is 90 degrees.

If x is measure of the unknown angle, the measure of the complement of the angle is 90 - x.

The facts of the problem lead to the equation

So x (the measure of the unknown angle) = (90-x)-25

Manipulate the equation so that all terms involving the unknown "x" are on the same side of the equation.

So, 2x=90-25=65

Solve for x.

x = 65/2= 32.5 degrees.

I hope that this helps.