Question 53

Points A and B are on a circle with centre O. PAM and PBN are tangentsto the circle at A and B respectively from a point P outside the circle. Point Q is on the major arc AB such that $$\angle QAM = 58^\circ$$ and $$\angle QBN = 50^\circ$$, then find the measure (in degrees) of $$\angle APB$$.


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