Yes, the shape have rotational symmetry
The degrees of rotation is 72 degrees
What is rotational symmetry
Rotational symmetry is a property of a geometric figure or object that remains unchanged under a certain rotation.
If a shape can be rotated by a certain angle and still look the same after the rotation, it is said to have rotational symmetry.
The angle to which the shape remains same is
= 360/2
= 72