Are the two indicated angles (40° and 50°) adjacent? Why or why not?

(1 point)
AOB=40
cod=50

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.
Yes, the two indicated angles share a common vertex.
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1 answer

To determine whether the angles AOB = 40° and COD = 50° are adjacent, we need to assess their definitions:

  1. Adjacent angles are two angles that share a common vertex and a common ray.

Given the angle descriptions:

  • AOB and COD are defined angles.

To answer the question, we need additional information about the relationships between points A, O, B, C, and D. However, based on typical angle relationships:

  • If AOB and COD share a common vertex (which is O) and share a common ray (one of the rays forming each angle must be the same), they would be considered adjacent.

If we assume that lines or rays OA and OC or OB and OD are different from each other, then:

  • If they share a vertex (O) and do not share a ray, then they would not be adjacent.

So, depending on the relationship that you specify:

  • If AOB and COD do not share a common ray but share a common vertex, the correct answer would be:

No, the two indicated angles do not share a common ray.

Make sure to analyze the angle and ray definitions in relation to points A, O, B, C, and D to confirm whether they share rays or not.