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angles in isosceles wanted, AM=2ВК, 24^o (Kyiv City Olympiad 2004 8.7 )

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June 27, 2021
anglesgeometryisosceles

Problem Statement

In an isosceles triangle ABCABC with base ACAC, on side BCBC is selected point KK so that ∠BAK=24o\angle BAK = 24^o. On the segment AKAK the point MM is chosen so that ∠ABM=90o\angle ABM = 90^o, AM=2BKAM=2BK. Find the values ​​of all angles of triangle ABCABC.
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