Question

Triangle ABC is inscribed in a circle with centre O, AB=AC, OP perpendicular to AB, OQ perpendicular to AC. Prove that PB=QC.
Irrelevant answers will be reported. ​

Answer 1

Two triangles in blue color are congruent. This tells DP=EQ, now the triangle BDP and CEQ are congruent by SAS congruence.

Now it is clear that BP=CQ.