Answer
$${480^ \circ }$$
Work Step by Step
$$\eqalign{
& \frac{{8\pi }}{3} \cr
& {\text{Multiply by }}\frac{{{{180}^ \circ }}}{\pi }. \cr
& \frac{{8\pi }}{3}{\text{radians}} = \frac{{8\pi }}{3}\left( {\frac{{{{180}^ \circ }}}{\pi }} \right) \cr
& {\text{Simplify}} \cr
& \frac{{8\pi }}{3}{\text{radians}} = \frac{{{{1440}^ \circ }}}{3} \cr
& \frac{{8\pi }}{3}{\text{radians}} = {480^ \circ } \cr} $$