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Regular hexagon, determine XAY

Source: Lusophon Mathematical Olympiad 2023 Problem 5

May 27, 2023
geometryperimeter

Problem Statement

Let ABCDEFABCDEF be a regular hexagon with side 1. Point X,YX, Y are on sides CDCD and DEDE respectively, such that the perimeter of DXYDXY is 22. Determine ∠XAY\angle XAY.
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