We know that [tex] \pi [/tex] radians is equal to [tex] 180^o [/tex]. Therefore,
[tex] \theta \;radians=\frac{180}{\pi} \theta\; degrees [/tex]. Thus the degrees equivalent to [tex] \frac{11 \pi}{12} \; radians [/tex] is
[tex] \frac{180}{\pi} \frac{11 \pi}{12} =165^o [/tex]