Answer:
[tex]z=87^{\circ}[/tex]
Step-by-step explanation:
We have been given image of a circle. We are asked to find the value of z for our given circle.
We can see that our given quadrilateral is a cyclic quadrilateral. We know that opposite angles of a cyclic quadrilateral are supplementary.
We can set an equation using our given information.
[tex]93^{\circ}+z=180^{\circ}[/tex]
[tex]93^{\circ}-93^{\circ}+z=180^{\circ}-93^{\circ}[/tex]
[tex]z=87^{\circ}[/tex]
Therefore, the value of z is 87 degrees.
