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Argentina MO 2021 National Level 3 P3

Source:

April 24, 2022
geometryAngle ChasingArgentina

Problem Statement

Let ABCDABCD be a quadrilateral inscribed in a circle such that ∠ABC=60∘.\angle ABC=60^{\circ}.
a) Prove that if BC=CDBC=CD then AB=CD+DA.AB= CD+DA. b) Is it true that if AB=CD+DAAB= CD+DA then BC=CDBC=CD?
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