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TR-MO-R1 2008 Problem 33

    EE noktası, ABCDABCD eşkenar dörtgeninin iç bölgesinde olmak üzere ∣AE∣=∣EB∣|AE| = |EB|, m(EAB^)=12om(\widehat{EAB}) = 12^o ve m(DAE^)=72om(\widehat{DAE}) = 72^o dir. Buna göre m(CDE^)m(\widehat{CDE}) kaç derecedir?

    a) 64 b) 66 c) 68 d) 70 e) 72

    Official text Turkish Mathematical Olympiad, first round 2008 official paper, page 10. Quoted with source.

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