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TR-MO-R1 2021 Problem 21

    Bir ABCDABCD dışbükey dörtgeninde m(ACB^)=100∘m(\widehat{ACB}) = 100^\circ, m(ACD^)=30∘m(\widehat{ACD}) = 30^\circ ve m(ABD^)=m(DBC^)=20∘m(\widehat{ABD}) = m(\widehat{DBC}) = 20^\circ ise, m(DAC^)m(\widehat{DAC}) kaçtır?

    a) 40∘40^\circ b) 45∘45^\circ c) 50∘50^\circ d) 55∘55^\circ e) Hiçbiri

    Official text Turkish Mathematical Olympiad, first round 2021 official paper, page 12. Quoted with source.

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