OMCPLP 2023 Problem 5

Day 2

Seja $ABCDEF$ um hexágono regular de lado 1. Sejam $X, Y$ pontos sobre os lados $CD$ e $DE$ , respectivamente, tais que o perímetro do triângulo $DXY$ é igual a 2. Determine a medida do ângulo $\angle XAY$ .

Official text Lusophon Mathematical Olympiad 2023 official paper, page 2. Quoted with source.

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