OMCPLP 2023 Problem 2

Day 1

Seja $D$ um ponto no interior de um triângulo $ABC$ tal que $AD = CD$ , $\angle DAB = 70^\circ$ , $\angle DBA = 30^\circ$ e $\angle DBC = 20^\circ$ . Determine a medida do ângulo $\angle DCB$ .

Official text Lusophon Mathematical Olympiad 2023 official paper, page 1. Quoted with source.

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