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Let ΔABC\Delta ABCΔABC be a right angled triangle with ∠C=90o\angle C = 90^{o}∠C=90o. Suppose that APAPAP and BQBQBQ be the angular bisectors of ∠CAB\angle CAB∠CAB and ∠CBA\angle CBA∠CBA respectively. Let MMM and NNN be perpendiculars respectively from PPP and QQQ on to ABABAB. Find the value of ∠MCN\angle MCN∠MCN (in degree).
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