Find the value of z. You must show work to receive full credit.

The value of z from the cyclic quadrilateral as described is; 173/22.
Since the quadrilateral TUVW is a cyclic quadrilateral, it follows that the opposite angles of the quadrilateral are supplementary and hence, amount to 180.
On this note, 14z -7 +8z = 360
22z -7 = 180
22z = 180 -7
z = 173/22
Read more on cyclic quadrilateral;
https://brainly.com/question/10057464
#SPJ1