Use the image to answer the question.

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.

How many angles are adjacent to angle DOC
?

(1 point)

Answer 1

To determine how many angles are adjacent to angle DOC, we need to identify the angles that share a side with angle DOC without overlapping.

In the illustration you've provided, the rays create angles around point O.

Adjacent angles share a common ray and do not overlap, so:

1. Angle AOD (shares ray OD with DOC)
2. Angle EOC (shares ray OC with DOC)

Thus, the angles adjacent to angle DOC are AOD and EOC.

Therefore, the number of angles adjacent to angle DOC is 2.