What is the measure of an angle if it is 26 degrees more than its complement?

Suppose the angle is x degrees.

It is 26 deg more than its complement so the complement is x - 26 degrees.

Since the two angles are complementary, their sum is 90 degrees.

That is x + x - 26 = 90 or 2x - 26 = 90 so that 2x = 116 and so x = 58 degrees.