Answer:
34 degrees
Explanation;
Using the theorem below to solve the problem;
Angle at the vertex is equal to to half of the difference of angles of its intercepted arcs
Angle at the vaertex = z
difference of angles of its intercepted arcs = 108 - 40
difference of angles of its intercepted arcs = 68
Using the theorem
z = 1/2(108-40)
z = 1/2 * 68
z = 34 degrees
Hence the value of z is 34 degrees
