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Angle Ratios

Source:

February 24, 2006
ratioalgorithmnumber theoryEuclidean algorithm

Problem Statement

Let P1 P_1 be a regular r r-gon and P2 P_2 be a regular s s-gon (r≥s≥3) (r\geq s\geq 3) such that each interior angle of P1 P_1 is 5958 \frac {59}{58} as large as each interior angle of P2 P_2. What's the largest possible value of s s?
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