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MathNet 2018-part-01 — 181 problems (EN–VI) Question 17

Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)

Question 17

All diagonals of a convex 10-gon are drawn. They divide the angles into 80 parts. It is known that 59 of these parts are equal. Determine the maximum of different values among the 80 angles of division. How many times does each of these values occur?