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Which circle has a central angle that measures 40°?

A. Circle U is shown. Line segment ZX is a diameter. Line segment VX is a secant. Angle VXZ is 40 degrees.

B. Circle U is shown. Line segments UV and UZ are radii. Angle VUZ is 40 degrees.

C. Circle U is shown. Line segment ZV is a secant. Line segment ZX is a tangent. Angle XZV is 40 degrees.

D. Circle U is shown. Line segments XV and XZ are secants. Angle VXZ is 40 degrees.

Answer :

Answer:

it is B

Step-by-step explanation:

We need to find the circle that has a central angle that measures 40°.


In all options, the center of circle is U. It means central angle must be on center, i.e., U.


In option A,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.


In option B,the angle VUZ is at point U which is the center. So, angle VUZ is a central angle with measure 40°.


In option C,the angle XZV is at point Z which is not the center. So, angle XZV is not a central angle.


In option D,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.


Therefore, the correct option is B.

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Rewritten by : Jeany

Answer:

Option B.

Step-by-step explanation:

We need to find the circle that has a central angle that measures 40°.

In all options, the center of circle is U. It means central angle must be on center, i.e., U.

In option A,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.

In option B,the angle VUZ is at point U which is the center. So, angle VUZ is a central angle with measure 40°.

In option C,the angle XZV is at point Z which is not the center. So, angle XZV is not a central angle.

In option D,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.

Therefore, the correct option is B.