Answer:
70degrees
Step-by-step explanation:
Using the theorem;
Angle at the vertex is the half of the difference of the angles at its intercepted arcs
Angle at the vertex = 24 degrees
difference of the angles at its intercepted arcs = 118 - x
According to the theorem;
24 = 1/2(118 - x)
Cross multiply
24 * 2 = 118 - x
48 = 118 - x
x = 118 - 48
x = 70degrees
Hence the value of x is 70degrees
