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:
- Common Ray: If the two angles share one ray, they are adjacent.
- 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.
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