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SHARYGIN 2017 Problem 4

    A triangle ABCABC is given. Let C′C' be the vertex of an isosceles triangle ABC′ABC' with ∠C′=120∘\angle C' = 120^\circ constructed on the other side of ABAB than CC, and B′B' be the vertex of an equilateral triangle ACB′ACB' constructed on the same side of ACAC as ABCABC. Let KK be the midpoint of BB′BB'. Find the angles of triangle KCC′KCC'.

    Official text Sharygin Geometry Olympiad 2017 official paper, page 2. Quoted with source.

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