# What name shall I give to this problem?

Geometry Level 3

Let $$\Delta ABC$$ 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).

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