If a regular pentagon is rotated by 72° (one fifth of 360°), then it exactly fits its own outline.

Therefore a regular pentagon has rotational symmetry of order 5.

I found an answer from www.quora.com

How is the **rotational symmetry** of **regular polygons** found? - Quora

A **regular polygon** has **rotational symmetry** by turning any multiple of the central angle. The central angle is 360 degrees divided by the number of sides.

For more information, see How is the **rotational symmetry** of **regular polygons** found? - Quora

I found an answer from en.wikipedia.org

**Regular polygon** - Wikipedia

These properties apply to all **regular polygons**, whether convex or star. A regular n-sided polygon has **rotational symmetry** of **order** n. All ...

For more information, see **Regular polygon** - Wikipedia

I found an answer from www.geogebra.org

**Pentagon** - **Rotational Symmetry** – GeoGebra

Number of **Rotational Symmetries**. How many times does a **REGULAR PENTAGON** rotate onto itself until it is back to the beginning? Include the rotation 360°.

For more information, see **Pentagon** - **Rotational Symmetry** – GeoGebra