To determine a possible angle of rotational symmetry for a regular polygon with 15 sides, we need to understand the properties of rotational symmetry in polygons. A regular polygon is symmetrical about its center and can be rotated about that center without changing its appearance.
The formula to find the angle of rotational symmetry is:
Angle of rotation = 360° / n
where n is the number of sides of the polygon. In this case, since we have 15 sides:
Angle of rotation = 360° / 15 = 24°
This means that a regular polygon with 15 sides can be rotated by 24 degrees, and it will look exactly the same at every multiple of 24 degrees. Other angles of rotational symmetry would similarly be multiples of 24 degrees, such as 48°, 72°, and so on, up to 360°.