RU-ALLRUSSIAN 1972 Problem 9
A 7- gon is inscribed in a circle. The center of the circle lies inside the 7- gon. A, B, C are adjacent vertices of the 7- gon show that the sum of the angles at A, B, C is less than 450 degrees.
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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