Respuesta :
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 = x
Now, 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 = 6
The 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
