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Part of 2004 Iran MO (3rd Round)

Problems(1)

Find angles of triangle ABC

Source: Iranian National Olympiad (3rd Round) 2004

1/9/2009
In triangle ABC ABC, points M,N M,N lie on line AC AC such that MA\equal{}AB and NB\equal{}NC. Also K,L K,L lie on line BC BC such that KA\equal{}KB and LA\equal{}LC. It is know that KL\equal{}\frac12{BC} and MN\equal{}AC. Find angles of triangle ABC ABC.
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