olymmath

ISL 2013 G5

    Let ABCDEFA B C D E F be a convex hexagon with AB=DE,BC=EF,CD=FAA B=D E, B C=E F, C D=F A, and ∠A−∠D=∠C−∠F=∠E−∠B\angle A-\angle D=\angle C-\angle F=\angle E-\angle B. Prove that the diagonals AD,BEA D, B E, and CFC F are concurrent. (Ukraine)

    Dataset text NuminaMath olympiads. Quoted with source.

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