An illustration shows four rays with points near the arrows labeled A, B, C, and D in a clockwise direction emerging from a common point labeled O. The angle A O B is marked as 40 degrees and angle C O D is marked as 50 degrees.
Are the two indicated angles adjacent? Why or why not?
(1 point)
Responses
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.
No, the two indicated angles do not share a common ray.
No, the two indicated angles do not share a common ray.
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1 answer
The correct response is:
No, the two indicated angles do not share a common ray.
Explanation: Angles AOB (40 degrees) and COD (50 degrees) do not have a common ray since the rays emerge in different directions from point O. Therefore, they do not meet the criteria to be considered adjacent angles, which require sharing a common ray and vertex.
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