The angles of a convex $n$-gon are $a,2a, ... ,na$. Find all possible values of $n$ and the corresponding values of $a$.
Problem
Source: 2001 Estonia National Olympiad Final Round grade 11 p1
Tags: angles, convex, polygon, geometry
Source: 2001 Estonia National Olympiad Final Round grade 11 p1
Tags: angles, convex, polygon, geometry
The angles of a convex $n$-gon are $a,2a, ... ,na$. Find all possible values of $n$ and the corresponding values of $a$.