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5 obtuse angles, convex pentagon - All-Russian MO 1996 Regional (R4) 8.3

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September 23, 2024
geometrypentagonobtuseangles

Problem Statement

Does such a convex (all angles less than 180o180^o) pentagon ABCDEABCDE, such that all angles ABDABD, BCEBCE, CDACDA, DEBDEB and EACEAC are obtuse?
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