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MathNet 2025-part-01 — 187 problems (EN–VI) Question 35

Math Olympiad Vault · MathNet 2025-part-01 — 187 problems (EN–VI)

Question 35

Find the largest integer $n$ with the following property: Whenever five distinct points are given in a plane such that some two of them lie inside the triangle formed by the remaining three points, then some three of these five points can be denoted by $X, Y, Z$ such that $n^\circ \lt |\angle XYZ| \le 180^\circ$.