Question

What is the value of x in the regular polygon below?

Answer 1

40

Explanation:

Answer 2

The value of x is equal to
`40\°`

Explanation:

we know that

The sum of the internal angles of a polygon is equal to

`S=(n-2)180\°`

where

n is the number of sides of the polygon

In this problem

`n=6\ sides`

substitute

`S=(6-2)180\°=720\°`

To find the measure of one internal angle of the figure, divide the sum by the number of sides

`720\°/6=120\°`

In this problem

`3x=120\°`

`x=120\°/3=40\°`