For a 30 sided regular polygon, We can divide the polygon (30 sides) into 30 inscribed triangles with central vertex angles of = [tex]\frac{360}{30} =12^{o}[/tex].
This central vertex angle of 12 degrees is the degree of rotation for a 30 sided polygon.
In other words, the 30 sided polygon has 12 degree rotational symmetry about the center.