Answer
$480^{\circ}$
Work Step by Step
In order to convert a radian measure to degrees, we must multiply the given radian measure by $\frac{180}{\pi}^{\circ}$ and simplify.
Therefore, $\frac{8\pi}{3}radians=\frac{8\pi}{3}(\frac{180}{\pi}^{\circ})=\frac{1440\pi}{3\pi}^{\circ}=480^{\circ}$.