Advanced Geometric Problem & Solution (Twice a week update) Now 4797 problems posted.
<Tri-2026-2333>, hint
AFIE are concyclic and since <EPF=<A, A,P,F,I,E are concyclic too.
<PFE=<C=<PIE. <EID=180-<C. Hence <EID+<PIE=180.
Hence P I D are collinear.
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