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MathNet 2016-part-02 — 184 problems (EN–VI) Question 101

Math Olympiad Vault · MathNet 2016-part-02 — 184 problems (EN–VI)

Question 101

A polygon is called convex if all its interior angles have measure strictly less than $180^{\circ}$. What is the maximum number of angles of measure less than $150^{\circ}$ that a convex polygon with 2016 sides can have?

(A) 11
(B) 12
(C) 13
(D) 17
(E) 2016