A geometry problem by sujoy roy

Geometry Level 4

ABC is an isosceles triangle with AB=AC and BAC=40\angle BAC=40^{\circ}. P is a point inside the triangle such that PBC=30\angle PBC=30^{\circ} and PCB=50\angle PCB=50^{\circ}. Find APB\angle APB.

Note: Use only geometry to solve the problem.

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