Question

Geometry; Inscribed Angles.Find the value of y. Please explain!

Answer 1

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 = $\frac{66}{2}=33$

Similarly,  y = $\frac{96}{2}=48$

y = 48° will be the answer.

Answer 2

check the picture below.