Which angles are adjacent to < DOC?

<AOB and <EOA
<DOB
<AOD
<EOD and <COB

The angles adjacent to <DOC are:

<AOB and <EOA. These angles share a vertex with <DOC.

<DOB is not adjacent to <DOC because it does not share a vertex with <DOC.

<AOD is not adjacent to <DOC because it does not share a vertex with <DOC.

<EOD and <COB are not adjacent to <DOC because they do not share a vertex with <DOC.