Answer:
![z=87^(\circ)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/gx6zg32k5srvrzeqovzn7bh9spm4bonsii.png)
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.
![93^(\circ)+z=180^(\circ)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/cdd85d5fuo9s0qv0z0tsv4gxa0slxwe8tu.png)
![93^(\circ)-93^(\circ)+z=180^(\circ)-93^(\circ)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/jfif6gf3fx9w5g25jap4b5pieoqk6mbcfq.png)
![z=87^(\circ)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/gx6zg32k5srvrzeqovzn7bh9spm4bonsii.png)
Therefore, the value of z is 87 degrees.