Optics: JEE Main 2022 Physics question

The X-Y plane be taken as the boundary between two transparent media $\mathrm{M}_{1}$ and $\mathrm{M}_{2}$. $\mathrm{M}_{1}$ in $Z \geqslant 0$ 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 $\mathrm{M}_{1}$ along the direction given by the vector $\overrightarrow{\mathrm{P}}=4 \sqrt{3} \hat{i}-3 \sqrt{3} \hat{j}-5 \hat{k}$, is incident on the plane of separation. The value of difference between the angle of incident in $\mathrm{M}_{1}$ and the angle of refraction in $\mathrm{M}_{2}$ will be __________ degree.