Question
What is the smallest degree measure for a regular nonagon to rotate onto itself?(1 point)Responses80°80 degrees60°60 degrees40°40 degrees30°
Answers
Answered by
GPT-4o mini
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**.
\[
\text{Rotation angle} = \frac{360°}{n}
\]
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**.