In the given scenario with the rays emerging from point O and the points A, B, C, D, and E positioned in a counterclockwise manner, the adjacency of angles can be determined based on their arrangement.
Angle DOC is formed between rays OD and OC. The angles adjacent to angle DOC are the angles that share a ray with angle DOC and are positioned next to it.
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Angle AOB: This angle is adjacent to angle DOC because it shares ray OA with angle AOB.
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Angle BOC: This angle is also adjacent to angle DOC because it shares ray OC with angle BOC.
Thus, the angles adjacent to angle DOC are angle AOB and angle BOC.