If the complement of an angle is equal to supplement of thrice the angle, find the angle.

Sure, let's solve this step by step:

1. Let's denote the angle we are looking for as x (in degrees).

2. The complement of an angle is defined as 90 degrees minus the angle. So, the complement of x is 90 - x.

3. Thrice the angle is 3x. The supplement of an angle is defined as 180 degrees minus the angle. So, the supplement of thrice the angle is 180 - 3x.

4. According to the problem, the complement of the angle is equal to the supplement of thrice the angle. So, we can set up the equation 90 - x = 180 - 3x.

5. To solve for x, first simplify the equation by adding x to both sides to get 90 = 180 - 2x.

6. Then, subtract 180 from both sides to get -90 = -2x.

7. Finally, divide both sides by -2 to get x = 45 degrees.

So, the angle is 45 degrees.