Respuesta :

150 degrees. Look up the unit circle for more help on problems like these☺️!!

Answer:

[tex]\frac{5\pi }{6}\texttt{ radian =}150\texttt{ degrees}[/tex]

Step-by-step explanation:

We know

            2π radians = 360 °

               1 radian = [tex]=\frac{360}{2\pi }=\frac{180}{\pi }[/tex]

Here we are asked to convert [tex]\frac{5\pi }{6}[/tex] radiands to degrees.

         [tex]\texttt{ 1 radian = }\frac{180}{\pi } \texttt{ degrees}\\\\\frac{5\pi }{6}\texttt{ radian =}\frac{5\pi }{6}\times \frac{180}{\pi } \texttt{ degrees}\\\\\frac{5\pi }{6}\texttt{ radian =}150\texttt{ degrees}[/tex]