The problem asks to convert $\frac{2\pi}{5}$ radians to degrees.

1. Problem Description

The problem asks to convert $\frac{2\pi}{5}$ radians to degrees.

2. Solution Steps

To convert radians to degrees, we use the following conversion factor:

$1 \text{ radian} = \frac{180}{\pi} \text{ degrees}$.

So, to convert $\frac{2\pi}{5}$ radians to degrees, we multiply by the conversion factor:

$\frac{2\pi}{5} \text{ radians} = \frac{2\pi}{5} \cdot \frac{180}{\pi} \text{ degrees}$

We can simplify this expression:

$\frac{2\pi}{5} \cdot \frac{180}{\pi} = \frac{2 \cdot 180}{5} = \frac{360}{5} = 72$

Therefore, $\frac{2\pi}{5}$ radians is equal to $72$ degrees.

3. Final Answer

72 degrees