Use the image to answer the question.

An illustration shows three rays labeled A, B, and C emerging from a common point labeled O. The points A, O, and C fall on a straight line. Angle C O B is marked as 1 and angle B O A is marked as 2.

Are the two indicated angles adjacent? Why or why not?

(1 point)
Responses

Yes, the two angles share a common ray and vertex.
Yes, the two angles share a common ray and vertex.

Yes, the angles equal 180 degrees.
Yes, the angles equal 180 degrees.

No, the two angles do not share a common vertex.
No, the two angles do not share a common vertex.

No, the two angles do not share a common ray.

1 answer

Yes, the two angles share a common ray and vertex.

Adjacent angles are defined as two angles that share a common side (ray) and a common vertex. In this case, both angles C O B (angle 1) and B O A (angle 2) share the common ray OB and the common vertex O. Therefore, they are indeed adjacent angles.

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