#### Answer

$225^{\circ}$

#### 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, $\frac{5\pi}{4}radians=\frac{5\pi}{4}(\frac{180}{\pi}^{\circ})=\frac{900\pi}{4\pi}^{\circ}=225^{\circ}$.