IMO 2024 Shortlist G5
Let ABC be a triangle with incentre I, and let Ω be the circumcircle of triangle BIC. Let K be a point in the interior o...
Category: Geometry
Problem
Let ABC be a triangle with incentre I, and let Ω be the circumcircle of triangle BIC. Let K be a point in the interior of segment BC such that =BAK ă =KAC. The angle bisector of =BKA intersects Ω at points W and X such that A and W lie on the same side of BC, and the angle bisector of =CKA intersects Ω at points Y and Z such that A and Y lie on the same side of BC. Prove that =WAY “ =ZAX. (Uzbekistan)