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AB=DB+BD_1, AC=CE+CE_1 in a equilateral (Greece Junior 1999)

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July 12, 2019
geometryEquilateral

Problem Statement

Let ABCABC be an equilateral triangle . Let point DD lie on side AB,EAB,E lie on side AC,D1AC, D_1 and E1E_1 lie on side BC such that AB=DB+BD1AB=DB+BD_1 and AC=CE+CE1AC=CE+CE_1. Calculate the smallest angle between the lines DE1DE_1 and ED1ED_1.
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