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

Geometry; Inscribed Angles.Find the value of y. Please explain!-example-1

2 Answers

3 votes

Answer:

y = 48° is the answer.

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 =
(66)/(2)=33

Similarly, y =
(96)/(2)=48

y = 48° will be the answer.

User Matuszew
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6 votes

check the picture below.

Geometry; Inscribed Angles.Find the value of y. Please explain!-example-1
User Vivin
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8.0k points