What is the smallest degree measure for a regular nonagon to rotate onto itself?(1 point)Responses80°80 degrees60°60 degrees40°40 degrees30°

Answer 1

A regular nonagon has 9 sides. To find the smallest degree measure for a regular nonagon to rotate onto itself, we can use the formula:

\[ \text{Rotation angle} = \frac{360°}{n} \]

where \( n \) is the number of sides. For a nonagon, \( n = 9 \).

Calculating this gives:

\[ \text{Rotation angle} = \frac{360°}{9} = 40° \]

Thus, the smallest degree measure for a regular nonagon to rotate onto itself is 40 degrees.