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. 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 if two angles are adjacent, we need to identify the characteristics they must share. Adjacent angles are defined as two angles that:

1. Share a common vertex (the point where the two angles meet).
2. Share a common ray (one side of the angle is the same for both angles).
3. Do not overlap (they should not cover the same area).

Based on the responses provided, the correct answers would be:

• If the angles share a common ray and a common vertex, then Yes, the two indicated angles share a common ray and Yes, the two indicated angles share a common vertex.
• If they do not share a common ray or a common vertex, then No, the two indicated angles do not share a common ray or No, the two indicated angles do not share a common vertex.

To answer whether the two indicated angles are adjacent or not, you need to assess if they meet these criteria. If they do, they are adjacent; if they don't, they are not.