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2012 ToT Spring Junior A p7 angle between 3 incenters

Source:

March 4, 2020
incenterangleEquilateralaltitude

Problem Statement

Let AHAH be an altitude of an equilateral triangle ABCABC. Let II be the incentre of triangle ABHABH, and let L,KL, K and JJ be the incentres of triangles ABI,BCIABI,BCI and CAICAI respectively. Determine ∠KJL\angle KJL.
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