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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
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Angle PBC = 63 degrees and angle BPC = 42 degrees.

 Dec 28, 2020

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