The smallest angle of rotational symmetry that maps a regular pentagon onto itself is 72°. This is because a regular pentagon has 5 equal sides and vertices, so the full 360° rotation divided by 5 gives the smallest rotation angle: 360∘/5=72∘360^\circ /5=72^\circ 360∘/5=72∘. Rotating the pentagon by 72° (or multiples of 72°) around its center will map it onto itself
. Additionally, the order of rotational symmetry of a regular pentagon is 5, meaning it can be rotated onto itself 5 times in one full turn (including the starting position)
