MQ84 --- Geometry

MQ84--- GeometryDifficulty:40%Let ABC be a triangle where ∠C=90°. Let M bea point on the segment BC such that AM bisects ∠BAC.Similarly, let N be a point on the segment AC such that BN bisects ∠ABC. Let P and Q be points on AB such that MP and NQ are perpendicular to AB. Find ∠MCN.