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

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

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

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

No, they do not share a common vertex.

Answer 1

To determine if the two indicated angles are adjacent, we need to consider the definitions of adjacent angles. Adjacent angles share a common vertex and a common ray.

In this case, we have:

• The angle \( e \) formed between the two rays.
• The angle \( f \) formed by one of the rays and a vertical line.

Both angles share the common vertex of the point where the rays originate. However, they do not share a common ray since they are formed by different rays.

Given this analysis, the correct response is:

No, they do not share a common ray.