we know that
The sum of all interior angles in the polygon is equal to the formula
[tex](n-2)*180\°[/tex]
where
n is the number of sides of the polygon
In this problem we have
[tex]n=6[/tex]
substitute the value in the formula
[tex](6-2)*180\°=720\°[/tex]
Find the value of x
[tex]720\°=x\°+108\°+113\°+132\°+75\°+160\°\\720\°=x\°+588\°\\x\°=720\°-588\°\\x=132\°[/tex]
therefore
the answer is
the measure of x is [tex]132\°[/tex]
