What is the smallest degree of rotation that will map a regular 15-gon onto itself?

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The correct answer is:

24°.

Explanation:

To find the degrees of rotational symmetry, you divide 360° by the order of symmetry.

For a regular 15-gon, the order of symmetry is 15 (there are 15 vertices that the polygon can be turned to and be mapped onto itself).

This means the degrees of symmetry would be

360/15 = 24°.