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KöMaL 2020 C1612

    The convex heptagon A1A2A3A4A5A6A7A_1A_2A_3A_4A_5A_6A_7 has a circumscribed circle centred at an interior point of the heptagon. Prove that the sum of the interior angles at the vertices A1A_1, A3A_3 and A5A_5 is less than 450∘450^{\circ}.

    Official text KöMaL. Quoted with source.

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