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

Question

asked Sep 13, 2019 90.3k views

2 Answers

Habakuk · Answer 1 · 2019-09-16T01:33:33+0000

Answer: 33°

Step-by-step explanation:

360 ÷ 11 = 33 (nearest degree)

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

Gary Paluk · Answer 2 · 2019-09-19T03:42:22+0000

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

33°

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°