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MathNet 2015-part-02 — 191 problems (EN–VI) Question 116

Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)

Question 116

We are given $n$ points in a plane, $n \ge 3$, no three of them collinear. Consider all the interior angles of all triangles with vertices in given points and denote $\phi$ the size of the smallest angle. For given $n$ find the largest possible $\phi$.