The sum of internal angles of a quadrilateral is always 360°.
So if the internal angles of a quadrilateral are 110, 90, 80 and x, we have that:
[tex]\begin{gathered} 110+90+80+x=360 \\ 280+x=360 \\ x=360-280 \\ x=80\degree \end{gathered}[/tex]So we have that x is equal 80°.