Let P_{1} be a regular r-gon and P_{2} be a regular s-gon (r \geq s \geq 3) such that each interior angle of P_{1} is \frac{59}{58} as large as each interior angle of P_{2}. What is the largest possible value of s ?
Let P_{1} be a regular r-gon and P_{2} be a regular s-gon (r \geq s \geq 3) such that each interior angle of P_{1} is \frac{59}{58} as large as each interior angle of P_{2}. What is the largest possible value of s ?