MathDB

3

Part of 1990 AIME Problems

Problems(1)

Angle Ratios

Source:

2/24/2006
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?
ratioalgorithmnumber theoryEuclidean algorithm