Question

Are the two indicated angles (40° and 50°) 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. Yes, the two indicated angles share a common ray. Yes, the two indicated angles 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.

Answer 1

To determine whether the two indicated angles (40° and 50°) are adjacent, we need to check if they share a common ray and a common vertex.

- **Adjacent Angles**: Two angles are considered adjacent if they share a common vertex and a common ray.

Given the options you provided, here's how you can determine the correct answers based on the definitions:

1. **Common Ray**: If the two angles share one ray, they are adjacent.
2. **Common Vertex**: If the two angles also share a vertex, they are adjacent.

If you are asked if the angles are adjacent and they do indeed share both a common ray and a common vertex, then the correct response would be:

**Yes, the two indicated angles share a common ray and Yes, the two indicated angles share a common vertex.**

If the angles do not share either a ray or a vertex, you would choose the corresponding options indicating that they do not share them.

Please clarify if there is a specific diagram or additional context that can help finalize the response.