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Let the angle BMN And the angle DNM be x and y respectively. => x+y =180°(interior angle property) Now Angle PMN =1/2x (angle bisected) And Angle PNM = 1/2y ( ||) Since x+y =180 1/2(x+y) = 90 Further angle PMN+PMN+MPN= 180 1/2(x+y) +MPN=180 90 +MPN = 180 MPN = 90° Hence proved Regards
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