MATH SOLVE

2 months ago

Q:
# What is the sum of the exterior angles of a hexagon? Explain your answer.

Accepted Solution

A:

Answer:The sum of the exterior angles of hexagon is 360° .Step-by-step explanation:Given as :For a hexagon , let the sum of exterior angles = xNow, for any polygon The sum of each exterior angle = [tex]\frac{360^{\circ}}{n}[/tex]Where n is the number of sides of any polygon If polygon is a hexagon , Then , for hexagon the number of sides = 6 ∵ The measure of each exterior angle = [tex]\frac{360^{\circ}}{n}[/tex]So, For hexagon , n = 6The measure of each exterior angle = [tex]\frac{360^{\circ}}{6}[/tex]I. e The measure of each exterior angle = 60°So, The sum of the exterior angles of hexagon is 60° × 6 = 360°Hence The sum of the exterior angles of hexagon is 360° . Answer