Question

What is the angle of rotational symmetry of a regular pentagon?

• A. ${36}^{\circ }$
• B. ${60}^{\circ }$
• C. ${72}^{\circ }$
• D. ${108}^{\circ }$

Answer 1

The correct option is C ${72}^{\circ }$


The angle of rotation of an $n$ sided regular polygon is given by $\frac{{360}^{\circ }}{n}.$

A pentagon has 5 sides.
$⟹$Angle of rotation of a regular pentagon =$\frac{{360}^{\circ }}{5}={72}^{\circ }$.

So, if you rotate the pentagon by an angle of ${72}^{\circ }$, then it will look identical to the initial figure.