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To find the measure of each exterior angle of a regular polygon, the formula is:

\[
\text{Exterior Angle} = \frac{360^\circ}{n}
\]

where \( n \) is the number of sides of the polygon. For a regular 11-sided polygon (an 11-gon), we substitute \( n = 11 \):

\[
\text{Exterior Angle} = \frac{360^\circ}{11} \approx 32.73^\circ
\]

Rounding to the nearest degree:

\[
\text{Exterior Angle} \approx 33^\circ
\]

Therefore, the correct answer is:

**C. 33°**

Would you like more details or have any further questions?

Here are 5 related questions to deepen your understanding:
1. How do you calculate the interior angle of a regular polygon?
2. What is the relationship between interior and exterior angles in polygons?
3. Can the exterior angle formula be used for non-regular polygons?
4. How would the exterior angle change if the number of sides increased?
5. What are the sum of the exterior angles for any polygon?

**Tip:** The sum of the exterior angles of any polygon, regardless of the number of sides, is always 360°.

To the nearest degree, what is the measure of each exterior angle of a regular 11-gon?

Learn how to calculate the measure of an exterior angle for a regular 11-sided polygon (11-gon). This geometry problem involves the exterior angle sum theorem and demonstrates the use of the formula Exterior Angle = 360° / n.

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