Question

question 3 of 10
to the nearest degree, what is the measure of each exterior angle of a regular 11 - gon?
a. 45°
b. 30°
c. 33°
d. 36°

Explanation:

Step1: Recall exterior - angle sum property

The sum of the exterior angles of any polygon is always 360°.

Step2: Calculate exterior - angle of 11 - gon

For a regular 11 - gon, since all exterior angles are equal, we use the formula $\text{Exterior angle}=\frac{360^{\circ}}{n}$, where $n = 11$. So, $\text{Exterior angle}=\frac{360}{11}\approx32.73^{\circ}$.

Step3: Round to the nearest degree

Rounding 32.73° to the nearest degree gives 33°.

Answer:

C. 33°