#### Answer

$162^{\circ}$

#### 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, $\frac{9\pi}{10}radians=\frac{9\pi}{10}(\frac{180}{\pi}^{\circ})=\frac{1620\pi}{10\pi}^{\circ}=162^{\circ}$.