Answer:
y = 48° is the answer.
Step-by-step explanation:
In the figure attached, length of small arc = 66°
This small arc makes an angle at the center of the circle = 66°
By definition, angle formed by the arc at the center is double of the measure of the angle inscribed by the small arc at the point on a circle.
Therefore, m (arc) = 66° = 2.(x)
x = [tex]\frac{66}{2}=33[/tex]
Similarly, y = [tex]\frac{96}{2}=48[/tex]
y = 48° will be the answer.
