Are the two indicated angles adjacent? Why or why not? (1 point) Responses No, the two indicated angles do not share a common vertex. No, the two indicated angles do not share a common vertex. Yes, the two indicated angles share a common vertex. Yes, the two indicated angles share a common vertex. No, the two indicated angles do not share a common ray. No, the two indicated angles do not share a common ray. Yes, the two indicated angles share a common ray.

Question

B \ | C /
\ | 50 degrees /
<----40-degrees------\ | /
A O

Answer 1

To determine if the two indicated angles are adjacent, we need to identify whether they share a common vertex, a common ray, and if they are positioned next to each other without any overlap.

From your description, it seems like there are two angles involved:

1. The angle at point O, which is 50 degrees.
2. The angle adjacent to it, which is 40 degrees.

For two angles to be adjacent, they must:

• Share a common vertex.
• Share a common ray.
• Be located next to each other without any overlap.

In this case, based on your diagram and description:

• Common Vertex: Yes, both angles share the vertex at point O.
• Common Ray: If the angles are formed by the same side (ray) extending from point O, then yes, they share a common ray.
• Positioning: If the angles are next to one another without overlap, then they are adjacent.

Thus, the correct response would be:

Yes, the two indicated angles share a common vertex and a common ray. Therefore, they are adjacent angles.