Use the image to answer the question.

Question

An illustration shows two leftward rays emerging from a point and the internal angle is marked e. A vertical line emerging from the top ray forms an angle with the ray labeled f.

Determine if the two indicated angles are adjacent.

(1 point)
Responses

Yes, they share a common ray.
Yes, they share a common ray.

Yes, they share a common vertex.
Yes, they share a common vertex.

No, they do not share a common vertex.
No, they do not share a common vertex.

No, they do not share a common ray.
No, they do not share a common ray.

Answer 1

To determine if angles e and f are adjacent, we need to check if they share a common ray and a common vertex.

1. Common Vertex: Both angles e and f emerge from the same point where the rays originate, so they share a common vertex.

2. Common Ray: The angle labeled e is formed by the two leftward rays, whereas the angle labeled f involves one of those rays and the vertical line. If both angles share one of the same rays (the ray that is part of angle e and the vertical line forming angle f), then they share a common ray.

Based on this reasoning, the correct response is:

Yes, they share a common ray.