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:
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No, the two indicated angles do not share a common ray. - This would be correct if they indeed do not share a side.
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No, the two indicated angles do not share a common vertex. - This would be correct if the angles have different vertices.
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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.
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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!