Question

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

Answer 1

The sum of the exterior angles of hexagon is 360° .

Explanation:

Given as :

For a hexagon , let the sum of exterior angles = x

Now, for any polygon The sum of each exterior angle =
`(360^(\circ))/(n)`

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 =
`(360^(\circ))/(n)`

So, For hexagon , n = 6

The measure of each exterior angle =
`(360^(\circ))/(6)`

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