Luisa draws a regular nonagon and rotates it about its center. which angle measures can luisa rotate the regular nonagon through to map it onto itself? select each correct answer. 40° 80° 90° 120° 160° 180°

Answer: [tex]40^{\circ}[/tex]
Step-by-step explanation:Given: A regular nonagon with 9 sides.For a regular nonagon, it maps onto itself 9 times during a rotation of 360°.Mow, the angle at Lusia can rotate the regular nonagon through to map it onto itself=[tex]\frac{360}{\text{number of sides of regular polygon}}=\frac{360}{9}=40^{\circ}[/tex]A shape is said to has rotational symmetry if it maps onto itself under rotation about a point at its center. The order of rotational symmetry is the number of times the shape maps onto itself during a rotation of 360°.