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OpenStudy (anonymous):
Triangle ABC has ∠BAC=20∘ and ∠ACB=75∘. P is a point in the interior of triangle ABC. Points D,E and F lie on BC,CA and AB, respectively, such that A,E,P,F are concyclic and C,D,P,E are concyclic. What is the measure (in degrees) of ∠DPF?
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