90.3k views
0 votes
To the nearest degree, what is the measure of each exterior angle of a regular 11-gon?

User Tor
by
7.0k points

2 Answers

3 votes
Answer: 33°

Step-by-step explanation:

360 ÷ 11 = 33 (nearest degree)


The Wise Orange knows that exterior angles always sum up to 360°
User Habakuk
by
7.2k points
2 votes

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:


(360\degree)/(n)

We have:

n=11

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


(360)/(11)\\\\\\=32.7272

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

User Gary Paluk
by
7.6k points