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CZ-SK-MO 1995 Problem 1

    Suppose that tetrahedron ABCDABCD satisfies ∠BAC+∠CAD+∠DAB=∠ABC+∠CBD+∠DBA=180o\angle BAC+\angle CAD+\angle DAB = \angle ABC+\angle CBD+\angle DBA = 180^o . Prove that CD≥ABCD \ge AB .

    Dataset text AI-MO AoPS. Quoted with source.

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