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Question Number 198643 by cortano12 last updated on 22/Oct/23

$$$$$$\mathrm{Given}\mathrm{an}\mathrm{isosceles}\mathrm{triangle}\mathrm{ABC}$$$$\mathrm{which}\mathrm{\angle }\mathrm{A}=30°,\mathrm{AB}=\mathrm{AC}.$$$$\mathrm{A}\mathrm{point}\mathrm{D}\mathrm{is}\mathrm{midpoint}\mathrm{of}\mathrm{BC}.$$$$\mathrm{A}\mathrm{point}\mathrm{P}\mathrm{is}\mathrm{chosen}\mathrm{on}\mathrm{then}$$$$\mathrm{segment}\mathrm{AD}\mathrm{and}\mathrm{a}\mathrm{point}\mathrm{Q}\mathrm{is}$$$$\mathrm{chosen}\mathrm{on}\mathrm{the}\mathrm{side}\mathrm{AB}\mathrm{so}\mathrm{that}$$$$\mathrm{BP}=\mathrm{PQ}.$$$$\mathrm{Find}\mathrm{the}\mathrm{angle}\mathrm{PQC}$$

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