Find the angle of rotation about the center of the regular pentagon that maps a to b.
a.) 216 degrees
b.) 144 degrees
c.) 72 degrees

Option C. 72°

Step-by-step explanation:

Area inscribed in a regular pentagon ABCD can be divided in five triangles.

Every triangle form an equal angle at the center of this polygon.

So every angle at origin ∠BOA =

Now we can see that to rotate this pentagon in a way that A replaces B, angle of rotation will be 72° anticlockwise.

Option C. 72° is the correct option.

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step-by-step explanation: