Advanced Geometric Problem & Solution (Twice a week update) Now 4820 problems posted.
<Tri-2023-2051>, hint
Suppose line PQ cuts GD in N.
By angle chasing <NGP=NDP=<C.
Similarly <NGQ=<NDQ=<B, Triangles PGQ and PDQ are congruent.
Hence PQ bisects GD in N.
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