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Geometry with circumscribed quadrilateral

Source: 239-School Open Olympiad 2022, Junior League P2

April 19, 2023
geometryincircle

Problem Statement

Point II{} is the center of the circle inscribed in the quadrilateral ABCDABCD. Prove that there is a point KK{} on the ray CICI such that ∠KBI=∠KDI=∠BAI\angle KBI=\angle KDI=\angle BAI.
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