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).

This problem is from the set What name should I give?
Surya Prakash by Surya Prakash
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