3 years ago

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

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

7 0

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.

Butoxors [25]3 years ago

3 0

check the picture below.

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