what is the value of x?

Refer to the figure above.
Sum of all the angles of a hexagon is 720 degrees.
Therefore, [tex]112^{\circ}+x^{\circ}+120^{\circ}+100^{\circ}+128^{\circ}+133^{\circ}=720^{\circ}[/tex]
[tex]593^{\circ}+x^{\circ}=720^{\circ}[/tex]
[tex]x^{\circ}=127^{\circ}[/tex]
So, the measure of x is [tex]127^{\circ}[/tex].