Answer
$${216^ \circ }$$
Work Step by Step
$$\eqalign{
& \frac{{6\pi }}{5} \cr
& {\text{Multiply by }}\frac{{{{180}^ \circ }}}{\pi }. \cr
& \frac{{6\pi }}{5}{\text{radians}} = \frac{{6\pi }}{5}\left( {\frac{{{{180}^ \circ }}}{\pi }} \right) \cr
& {\text{Simplify}} \cr
& \frac{{6\pi }}{5}{\text{radians}} = \frac{{{{1080}^ \circ }}}{5} \cr
& \frac{{6\pi }}{5}{\text{radians}} = {216^ \circ } \cr} $$