Find the measure of an angle which is 26° more than its complement

Sure, let's solve this step by step:

1. Let's denote the angle we're looking for as x.

2. We know that the complement of an angle is 90° minus the angle. So, the complement of x is 90° - x.

3. According to the problem, x is 26° more than its complement. So, we can write the equation: x = (90° - x) + 26°.

4. If we simplify this equation, we get: x = 116° - x.

5. To solve for x, we add x to both sides of the equation to get: 2x = 116°.

6. Finally, we divide both sides of the equation by 2 to find: x = 58°.

So, the measure of the angle that is 26° more than its complement is 58°.