IDNLearn.com: Your reliable source for finding expert answers. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.

16. What is the sum of the exterior angle measures of a 100-sided polygon?

A. [tex]$180^{\circ}$[/tex]
B. [tex]$360^{\circ}$[/tex]
C. [tex]$3,600^{\circ}$[/tex]
D. [tex]$7,200^{\circ}$[/tex]


Sagot :

To determine the sum of the exterior angle measures of a 100-sided polygon, we start by recalling an important property of polygons:

The sum of the exterior angles of any polygon is always [tex]\(360^\circ\)[/tex], regardless of the number of sides.

This property holds for all polygons, whether they are triangles, quadrilaterals, pentagons, or in our case, a 100-sided polygon.

Therefore, the sum of the exterior angle measures of a 100-sided polygon is [tex]\(\boxed{360^\circ}\)[/tex].

So, the correct answer is:
B. [tex]\(360^\circ\)[/tex]