Question

what is the smallest degree measure for a regular nonagon to rotate onto itself? (1 point)
60°
40°
30°
80°

Explanation:

Step1: Recall rotation - symmetry formula

The smallest angle of rotation $\theta$ for a regular $n$-sided polygon to map onto itself is given by $\theta=\frac{360^{\circ}}{n}$, where $n$ is the number of sides.

Step2: Identify number of sides of non - agon

A non - agon has $n = 9$ sides.

Step3: Calculate the angle

Substitute $n = 9$ into the formula: $\theta=\frac{360^{\circ}}{9}=40^{\circ}$.

Answer:

B. $40^{\circ}$