Question

Does the figure have rotational symmetry? If it does, find the angle of rotation.

Answer 1

No it doesn´ hope this helps.

Answer 2

The star has five points. To rotate it until it looks the same, you need to make 1 / 5 of a complete 360° turn. Since 1/5 * 360° = 72°, this is a 72° angle rotation. So yes, a five point star has rotational symmetry.
I hope that helped.