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MathNet 2008-part-03 — 165 problems (EN–VI) Question 53

Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)

Question 53

Let $B$ be an interior point of the segment $AC$. The equilateral triangles $\triangle ABM$ and $\triangle BCN$ are constructed in same half plane determined by the line $AC$. The lines $AN$ and $CM$ intersect in $L$. Find the angle $\angle CLN$.