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

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Answer:

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

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