To find out the value of z we can use the formula

But we also have to find out the value of w, which be found using the equation

Which needs the value of x, which be found using

But instead of doing all that and finding the value of x, w and z. We can directly find z using the fact that
Because it's all angles opposite by a vertex, and the sum of them all will be 360º, then we can say that

Therefore, z = 110º.