Question

How do I solve for X ?

Answer 1

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 $SUT=180-(18x+2)=178-18x$.

So,

$(2x+3)+95+(178-18x)=180$
$-16x+276=180$
$96=16x$
$x=6$