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2017 Polish Junior Math Olympiad First Round P4

Source: 2017 Polish Junior Math Olympiad First Round

May 23, 2023
geometry

Problem Statement

Quadrilateral ABCDABCD is inscribed in a circle with ∠ABC=60∘\angle ABC=60^\circ and BC=CDBC=CD. Prove that AB=AD+DCAB=AD+DC.
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