BDMO Secondary 2022 P2

In \triangle ABC, \angle BAC is a right angle. BP and CQ are bisector of \angle B and \angle C respectively which intersects AC and AB at P and Q respectively. Two perpendicular segments PM and QN are drawn on BC from P and Q respectively. Find the value of \angle MAN with proof.

Source : BDMO National Secondary 2022 P2

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