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Problem 8 of Second round

Source: IV International Festival of Young Mathematicians Sozopol 2013, Theme for 10-12 grade

January 22, 2020
geometry

Problem Statement

Let KK be a point on the angle bisector, such that ∠BKL=∠KBL=30∘\angle BKL=\angle KBL=30^\circ. The lines ABAB and CKCK intersect in point MM and lines ACAC and BKBK intersect in point NN. Determine ∠AMN\angle AMN.
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