Angles S, T and SUT must add to 180 degrees because they're the interior angles of a triangle. The angles at point U (SUT and FUT) are supplementary, so they also add to 180 degrees. This means [tex]SUT=180-(18x+2)=178-18x[/tex].
So,
[tex](2x+3)+95+(178-18x)=180[/tex]
[tex]-16x+276=180[/tex]
[tex]96=16x[/tex]
[tex]x=6[/tex]
