Question

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

(1 point)
Responses

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

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.

Yes, the two indicated angles share a common ray.

Answer 1

To determine if two angles are adjacent, we need to consider the definitions of adjacent angles. Two angles are adjacent if they share a common vertex and a common side (ray), but do not overlap.

Based on the options provided:

1. **No, the two indicated angles do not share a common ray.** - This would be correct if they indeed do not share a side.

2. **No, the two indicated angles do not share a common vertex.** - This would be correct if the angles have different vertices.

3. **Yes, the two indicated angles share a common vertex.** - This would only be true if they share a vertex, but we must also check for a common ray.

4. **Yes, the two indicated angles share a common ray.** - This is true if they share a side.

So the answer depends on the specific situation regarding the angles in question. However, for two angles to be considered adjacent, they must share both a common vertex and a common ray.

If the angles do share both a vertex and a ray, then the correct response would be: **"Yes, the two indicated angles share a common vertex and a common ray."**

If they do not share a ray, then they are not adjacent.

If you can clarify more about the specific angles being referred to, I can provide a more precise response!