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MathNet 2023-part-06 — 191 problems (EN–VI) Question 190

Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)

Question 190

On the plane 2022 points $A_1, A_2, \dots, A_{2022}$ are given, no three of which lie on the same line. Consider all the angles $A_i A_j A_k$ for the triples of distinct points $A_i, A_j, A_k$. What largest number of these angles can be right?