Question

what is the value of x ?
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Answer 1

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:

  ⇒ $Formula =(n-2)*180$

• n: # of sides

Let's plug in the number of sides:

  $Sum_.of_.angles=(6-2)*180=720$

Therefore all the angles of a hexagon must equal 720 degrees:

   $x + 90 + 110+160+90+140=720\\x + 590=720\\x = 130$

The value of x is 130.

Answer: 130

Hope that helps!