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MathNet 2010 — Part 01 Question 141

Math Olympiad Vault · MathNet 2010 — Part 01

Question 141

Points $K$ and $L$ are marked on the side $AB$ of the triangle $ABC$ so that $\angle ACK = \angle KCL = \angle LCB$. Point $M$ is marked on the side $BC$ so that $\angle MKC = \angle BKM$.
Find the value of $\angle MLC$, if $ML$ is a bisector of $\angle KMB$.
(S. Mazanik)