We know that the interior angles of any quadrilateral have to add 360°, then we add the expressions for each angle to get:
[tex]\begin{gathered} 2x+(2x-6)+(2x+4)+(3x+2)=360 \\ 9x=360 \end{gathered}[/tex]
Solving for x we have:
[tex]\begin{gathered} 9x=360 \\ x=\frac{360}{9} \\ x=40 \end{gathered}[/tex]
Therefore x=40°.
