given the given the figure what is the angle of rotational symmetry star

The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself
So that refers to the minimum angle that a hale is rotated through to have it concide exactly with itself
The star has 5 sides and spans over an entire angle of 360 degrees
Therefore, to obtain the angle of rotational symmetry, we will find the quotient of 360 degrees and 5 sides as shown below:
Angle of rotational symmetry = 360°/5 = 72°