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a - d = e - b = c - f in equiangular hexagon

Source: Oliforum Contest III 2012 p3 https://artofproblemsolving.com/community/c2487525_oliforum_contes

September 28, 2021
hexagonequal anglesgeometry

Problem Statement

Show that if equiangular hexagon has sides a,b,c,d,e,fa, b, c, d, e, f in order then a−d=e−b=c−fa - d = e - b = c - f.
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