$\Delta ABC$ be a right angled triangle with $\angle C = 90^{o}$. Suppose that $AP$ and $BQ$ be the angular bisectors of $\angle CAB$ and $\angle CBA$ respectively. Let $M$ and $N$ be perpendiculars respectively from $P$ and $Q$ on to $AB$. Find the value of $\angle MCN$ (in degree).

Let