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angle between AD and BE of equilaterals ABC and CDE

Source: 2010 Oral Moscow Geometry Olympiad grades 8-9 p1

August 16, 2020
geometryanglesEquilateral

Problem Statement

Two equilateral triangles ABCABC and CDECDE have a common vertex (see fig). Find the angle between straight lines ADAD and BEBE. https://1.bp.blogspot.com/-OWpqpAqR7Zw/Xzj_fyqhbFI/AAAAAAAAMao/5y8vCfC7PegQLIUl9PARquaWypr8_luAgCLcBGAsYHQ/s0/2010%2Boral%2Bmoscow%2Bgeometru%2B8.1.gif