please select the best answer from the choices provided

Hence, the value of z is:
20
The point C is the mid point of the line segment VW.
That is it divides the line segment VW into two equal segments.
i.e. Length of segment VC= Length of line segment CW.
Also we are given that:
Length VW=61
Length VC=z+13
and Length CW=z+8
This means that:
VC+CW=VW
i.e. z+13+z+8=61
⇒ 2z+21=61
⇒ 2z=61-21
⇒ 2z=40
⇒ z=20
Hence the value of z is:
20