If the supplement of an angle is three times its complement, then angle is:

Sure, let's solve this step by step:

1. Let's denote the angle as x.

2. The supplement of an angle is 180 degrees minus the angle. So, the supplement of x is 180 - x.

3. The complement of an angle is 90 degrees minus the angle. So, the complement of x is 90 - x.

4. According to the problem, the supplement of the angle is three times its complement. So, we can write the equation as follows: 180 - x = 3 * (90 - x).

5. Simplify the equation: 180 - x = 270 - 3x.

6. Add 3x to both sides of the equation: 180 + 2x = 270.

7. Subtract 180 from both sides of the equation: 2x = 90.

8. Divide both sides of the equation by 2: x = 45.

So, the angle is 45 degrees.