Question

Find the value of z.
x
y
1089
400
w
N
z = [? ]°

Answer 1

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