From the arc-angle relationships, we know that
[tex]20=\frac{3x-11}{2}[/tex]By moving the denominator to the left hand side, we get
[tex]\begin{gathered} 2\times20=3x-11 \\ 40=3x-11 \end{gathered}[/tex]by moving -11 to the left hand side, we have
[tex]\begin{gathered} 40+11=3x \\ 51=3x \end{gathered}[/tex]Then, x is given by
[tex]\begin{gathered} x=\frac{51}{3} \\ x=17 \end{gathered}[/tex]then, the answer is option J.