To convert an angle from radians to degrees, you can use the following formula:
\[ \text{degrees} = \text{radians} \times \left( \frac{180}{\pi} \right) \]
For the angle \( \frac{5\pi}{7} \) radians, the calculation would be:
\[ \text{degrees} = \frac{5\pi}{7} \times \left( \frac{180}{\pi} \right) \]
The \( \pi \) cancels out:
\[ \text{degrees} = \frac{5 \times 180}{7} \]
Now calculate it:
\[ \text{degrees} = \frac{900}{7} \approx 128.57 \]
So, \( \frac{5\pi}{7} \) radians is approximately \( 128.57 \) degrees.