The X-Y plane be taken as the boundary between two transparent media $M_1$ and $M_2 . M_1$ in $Z \geq 0$ has a refractive index of $\sqrt{2}$ and $M_2$ with $Z<0$ has a refractive index of $\sqrt{3}$. A ray of light travelling in $M_1$ along the direction given by the vector $\overrightarrow{\mathrm{A}}=4 \sqrt{3} \hat{\mathrm{i}}-3 \sqrt{3} \hat{\mathrm{j}}-5 \hat{\mathrm{k}}$, is incident on the plane of separation. The value of difference between the angle of incident in $M_1$ and the angle of refraction in $M_2$ will be $\_\_\_\_$ degree.