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Triangle MNQ is equliateral triangle, as MN = DC = QM = QP.

So ∠MQN = 60º

∠PQN = ∠MQN /2 = 30º

PQ = QN , so triangle PQN is an isosceles triangle.

∠QPN = ( 180º – ∠PQN )/2 = 75º

∠MPN = 2 × ∠QPN = 150º

 

 

 

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