Returning a polygon to its original position question 4:
through which angle of rotation does the image of a regular pentagon coincide with its preimage?
a. 90 degreesb . 72 degreesc. 60 degreesd. 45 degreese. 30 degrees

The angle of rotation through which the image of a regular pentagon coincide with its preimage is:

          Option: B

            B.   72 degrees

Rotational symmery--

Rotational symmetry is the minimum angle by which a figure is rotated such that it coincides with the original figure.

We know that for any n-regular polygon (i.e. a regular polygon with n number of sides) has a rotational symmetry of:

Here we are asked to find the rotational symmetry in case of pentagon i.e.  n=5

The angular symmetry is: