The chord RS and chord ST subtends equal angles the center. So length of chord ST is equal to length of chord RS.
Determine the value of x.
[tex]\begin{gathered} RS=ST \\ 59=10x-31 \\ 10x=59+31 \\ x=\frac{90}{10} \\ =9 \end{gathered}[/tex]
So value of x is 9.
