If we know that all angles are equal in a polygon with an odd number of sides, how many sides need to be shown to be equal to claim that the polygon is regular?
For example, if we know that a triangle is equiangular, we can directly claim that it is regular. However, we cannot do the same for a pentagon, since there are pentagons which are equiangular but not equilateral.
So, does it depend on the number of sides?