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# Angle Bisector problem

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In convex quadrilateral $$A B C D, A B=C D, \angle A B C=77^{\circ},$$ and $$\angle B C D=150^{\circ} .$$ Let P be the intersection of the perpendicular bisectors of $$\overline{B C}$$ and $$\overline{A D}$$. Find $$\angle P B C$$  and $$\angle BPC$$.

Dec 28, 2020