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Answer

Triangle MNQ is equilateral (QM = QN = QP = MN)

Angle MQN = 60 degĀ 

Angle MQP = 30 deg

 

Angles QMP = MPQ (isosceles triangle because QM = QP)

Let angle QMP = QPM = QPN = QNP = angle X

2X + 30 = 180 (triangle QMP)

2X = 150

X = 75

Angle MPN = angle QPM + angle QPM = 150

 

 

 

 

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