The regular polygon must have 12 sides so the smallest angle of rotational symmetry is 30°
We know that the smallest angle of rotational symmetry is 30°, then the exterior angles must measure that.
Remember that the sum of the exterior angles of a regular polygon must be equal to 360°, then we have:
360° = n*30°
Where n is the number of sides
Solving for n we get:
n = 360°/30° = 12
We conclude that the regular polygon has 12 sides.
If you want to learn more about regular polygons:
https://brainly.com/question/1592456
#SPJ4
