what is the value of x ?

Let us first consider how many sides this figure has:
⇒ it has 6 sides
Now to find the supposed sum of all the angles added up together for a hexagon, must use:
⇒ [tex]Formula =(n-2)*180[/tex]
Let's plug in the number of sides:
[tex]Sum_.of_.angles=(6-2)*180=720[/tex]
Therefore all the angles of a hexagon must equal 720 degrees:
[tex]x + 90 + 110+160+90+140=720\\x + 590=720\\x = 130[/tex]
The value of x is 130.
Answer: 130
Hope that helps!