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angle: projection of B on <C-bisector, touchpoint incircle with BC, B

Source: 2009 Sharygin Geometry Olympiad Final Round problem 5 grade 8

July 26, 2018
geometryangleprojection

Problem Statement

Given triangle ABCABC. Point MM is the projection of vertex BB to bisector of angle CC. KK is the touching point of the incircle with side BCBC. Find angle ∠MKB\angle MKB if ∠BAC=α\angle BAC = \alpha
(V.Protasov)
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