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Question

An illustration shows five rays with points near the arrows labeled A, B, C, D, and E in a counterclockwise direction, emerging from a common point labeled O. The points A, O, and E fall on a straight line. All the four angles are marked but unlabeled.

An illustration shows five rays with points near the arrows labeled A, B, C, D, and E in a counterclockwise direction, emerging from a common point labeled O. The points A, O, and E fall on a straight line. All the four angles are marked but unlabeled.

Which angle(s) are adjacent to ∠DOC ?

Answer 1

To determine which angles are adjacent to ∠DOC, we need to understand the orientation of the points A, B, C, D, and E around the point O.

From the description, since A, O, and E are collinear (falling on a straight line), we can infer that:

• ∠AOB and ∠BOC would be adjacent to ∠DOC, as they share a common ray OB.
• Additionally, ∠DOD is also adjacent to ∠DOC, sharing the common ray OD.

So, the angles adjacent to ∠DOC are ∠AOB, ∠BOC, and ∠DOA.