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:

the answer is c.

step-by-step explanation:

-3(b-8)-5=9(b+2)+1

distribute

-3b+24-5=9b+18+1

add/ subtract

-3b+20=9b+19

20-19= 1

-3b+1=9b

9b+3b= 12b

1=12b

1 divided by 12 = 1/12

answer: 1/12 = b