To determine if the indicated angles are adjacent, we need to clarify the definitions and relationships. Adjacent angles are defined as two angles that share a common vertex and a common ray.
In your description, you mention two angles: one measuring 50 degrees and the other measuring 40 degrees, with point O as the common vertex. Based on the provided information, if these angles share a common vertex (point O) and a common ray on one side, they would be considered adjacent.
Therefore, the correct response is:
Yes, the two indicated angles share a common vertex.