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Possible values of kth largest angle in a convex n-gon

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November 3, 2010
inequalities unsolvedinequalities

Problem Statement

Given natural numbers kk and n,k≤n,n≥3,n, k \le n, n \ge 3, find the set of all values in the interval (0,π)(0, \pi) that the kth−k^{th}-largest among the interior angles of a convex nn-gon can take.
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