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muminat
2 years ago
14

13) Circle O is shown with point A, B, C, and D on Circle O.

Mathematics
1 answer:
sladkih [1.3K]2 years ago
7 0

The value of y is 50

The angle measurement of angle AOB is 100°

<h3>Circle Geometry </h3>

From the question, we are to determine the value of y and the measure of angle AOB

From one the circle theorems, we have that

Angles in the <u>same segment</u> are equal

In the given diagram, x° and y° are angles in the same segment

∴ x° = y°

From the given information,

x = 50

∴ y = 50

Hence, the value of y is 50

Also, from another circle theorem,

Angle at the <u>center</u> is twice the angle at the <u>circumference</u>

∴ ∠AOB = 2x° = 2y°

Then,

∠AOB = 2×50°

∠AOB = 100°

Hence, the angle measurement of angle AOB is 100°

Learn more on Circle Geometry here: brainly.com/question/17074363

#SPJ1

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