Find the angle which is five times it supplement.

Explanation

To find the angle which is five times its supplement, we can follow these steps:

### Step-by-Step Solution:

1. **Define the Angle**:
Let the angle be \( x \).

2. **Find the Supplement**:
The supplement of the angle \( x \) is given by the formula:
\[ \text{Supplement} = 180^\circ - x \]

3. **Set Up the Equation**:
According to the problem, the angle \( x \) is five times its supplement. Therefore, we can write the equation:
\[ x = 5 \times (180^\circ - x) \]

4. **Expand the Equation**:
Expanding the right side gives:
\[ x = 900^\circ - 5x \]

5. **Rearrange the Equation**:
To isolate \( x \), add \( 5x \) to both sides:
\[ x + 5x = 900^\circ \]
This simplifies to:
\[ 6x = 900^\circ \]

6. **Solve for \( x \)**:
Now, divide both sides by 6:
\[ x = \frac{900^\circ}{6} \]
This simplifies to:
\[ x = 150^\circ \]

7. **Conclusion**:
The angle which is five times its supplement is:
\[ \boxed{150^\circ} \]