Question

Use the image to answer the 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

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

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

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

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

Answer 1

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

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

2. **Common Ray**: The ray forming angle e does not overlap or align with the ray forming angle f. Therefore, they do not share a common ray.

Since they share a common vertex but not a common ray, the correct response is:

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