110328
AssignmentMultiple Choice

Symmetry

Question 110328 • High School Math 2 A

The smallest angle of rotational symmetry for a regular polygon is 30°. How many sides does the regular polygon have?

Answer
A
9
B
12
C
20
D
30

Explanation

A full rotation is 360°, and a regular polygon’s smallest rotational symmetry angle is 360° divided by its number of sides. Set 360° ÷ n = 30°, so n = 360 ÷ 30 = 12. The polygon has 12 sides, which is choice B, 12.

AI-written and checked against the verified answer.