The value of x in the given hexagon is 115 degrees.
What is the some of the angles of a regular hexagon?
The sum of the angles of a regular hexagon is 720 degrees.
According to the given question.
We have a regular hexagon in which all the measure of interior angles are given except one angle "x".
To find the value of x we use the concept of sum of the interior angles of a regular hexagon.
Therefore,
[tex]115+120+115+135+120+x = 720[/tex]
⇒ [tex]605 + x = 720[/tex]
⇒ [tex]x = 720 -605[/tex]
⇒ [tex]x = 115 degrees[/tex]
Hence, the value of x in the given hexagon is 115 degrees.
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