Given: The smallest angle of rotational symmetry for a regular polygon is 30 degrees.
We have to determine the number of regular sides, a polygon have.
Number of regular sides of a polygon is given by the formula=
![(360)/(angle measure)](https://img.qammunity.org/2019/formulas/mathematics/high-school/vqdsp2raskezq6mdn0r06jjvdxoigxoft3.png)
=
![(360)/(30)](https://img.qammunity.org/2019/formulas/mathematics/high-school/ky6dj4psgeywprvruwwc1fdueioii0uuum.png)
= 12 sides
Therefore, there are 12 regular sides of this polygon.