Question

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

Answer 1

Answer:

The measure of each exterior angle of a regular 11-gon to the nearest degree is:

                                      33°

Step-by-step explanation:

A regular n-gon is a polygon whose measure of all the sides and all the angles are equal i.e. it is a equilateral and equiangular polygon.

We know that the measure of each exterior angle of a regular n-gon is given by:

                           $\dfrac{360\degree}{n}$

We have:

n=11

Hence, the measure of each exterior angle is given by:

                                      $\dfrac{360}{11}\\\\\\=32.7272$

Hence, to the nearest degree the measure of the exterior angle is: 33°

Answer 2

Answer: 33°

Explanation:

360 ÷ 11 = 33 (nearest degree)


The Wise Orange knows that exterior angles always sum up to 360°