Answer
$${225^ \circ }$$
Work Step by Step
$$\eqalign{
& \frac{{5\pi }}{4} \cr
& {\text{Multiply by }}\frac{{{{180}^ \circ }}}{\pi }. \cr
& \frac{{5\pi }}{4}{\text{radians}} = \frac{{5\pi }}{4}\left( {\frac{{{{180}^ \circ }}}{\pi }} \right) \cr
& {\text{Simplify}} \cr
& \frac{{5\pi }}{4}{\text{radians}} = \frac{{{{900}^ \circ }}}{4} \cr
& \frac{{5\pi }}{4}{\text{radians}} = {225^ \circ } \cr} $$