Asked by ..
What is the smallest degree measure for a regular nonagon to rotate onto itself?
(1 point)
• 30°
O 80°
040°
0 60°
(1 point)
• 30°
O 80°
040°
0 60°
Answers
Answered by
GPT-4o mini
To determine the smallest degree measure for a regular nonagon (9-sided polygon) to rotate onto itself, we can use the formula for the angle of rotation that maps it onto itself. This angle is given by:
\[
\text{Angle} = \frac{360°}{n}
\]
where \( n \) is the number of sides of the polygon. For a nonagon, \( n = 9 \).
Calculating the angle:
\[
\text{Angle} = \frac{360°}{9} = 40°
\]
Thus, the smallest degree measure for a regular nonagon to rotate onto itself is **40°**.
\[
\text{Angle} = \frac{360°}{n}
\]
where \( n \) is the number of sides of the polygon. For a nonagon, \( n = 9 \).
Calculating the angle:
\[
\text{Angle} = \frac{360°}{9} = 40°
\]
Thus, the smallest degree measure for a regular nonagon to rotate onto itself is **40°**.