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K,L on sides BC,CD of square <AKB = <AKL, <KAL ?

Source: 2002 Estonia National Olympiad Final Round grade 9 p1

March 16, 2020
equal anglesanglessquaregeometry

Problem Statement

Points KK and LL are taken on the sides BCBC and CDCD of a square ABCDABCD so that AKB=AKL\angle AKB = \angle AKL. Find KAL\angle KAL.