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Find angle AMN

Source: St. Petersburg MO 2001, 10th grade P5

April 24, 2023
geometryanglebisector

Problem Statement

On the bisector ALAL of triangle ABCABC a point KK is chosen such that ∠BKL=∠KBL=30∘\angle BKL=\angle KBL=30^{\circ}. Lines ABAB and CKCK intersect at point MM, lines ACAC and BKBK intersect at point NN. FInd the measure of angle ∠AMN\angle AMN
[I]Proposed by D. Shiryaev, S. Berlov
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