We have to find the value of z.
We can relate intersecting chords as:
[tex]AS\cdot SB=CS\cdot SD[/tex]
Then, applied to our segments, we can write:
[tex]\begin{gathered} z\cdot2=2\cdot(4+2) \\ z\cdot2=2\cdot6 \\ z=6 \end{gathered}[/tex]
Answer: z = 6 [Option A]
