A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure?

Solution:

When an object is rotated in a particular direction, around a point, then it is known as rotational symmetry, also known as radial symmetry.

Rotational symmetry exists when a shape is turned, and the shape is identical to the origin. 

We have to find the angle of rotational symmetry for the figure.

The formula used to determine the degree of rotation is

Degree of rotation = 360° /Number of sides

It is given that

Number of sides of a regular polygon = 15

Substituting it in the formula

Degree of rotation = 360° /15

Degree of rotation = 24°

Therefore, the possible angle of rotational symmetry is 24°.

A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure?

Summary:

A regular polygon has 15 sides. The possible angle of rotational symmetry for the figure is 24°.