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

Answer:
The value of x is equal to [tex]40\°[/tex]
Step-by-step explanation:
we know that
The sum of the internal angles of a polygon is equal to
[tex]S=(n-2)180\°[/tex]
where
n is the number of sides of the polygon
In this problem
[tex]n=6\ sides[/tex]
substitute
[tex]S=(6-2)180\°=720\°[/tex]
To find the measure of one internal angle of the figure, divide the sum by the number of sides
[tex]720\°/6=120\°[/tex]
In this problem
[tex]3x=120\°[/tex]
[tex]x=120\°/3=40\°[/tex]