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
?

Answer 1

To determine how many angles are adjacent to angle DOC, we first need to understand the layout of the rays and angles around point O.

Given the rays A, B, C, D, and E arranged in a counterclockwise direction around point O, we can label the angles formed by these rays:

• Angle AOB
• Angle BOC
• Angle COD
• Angle DOE
• Angle EOA

Since angle DOC is formed by rays OD and OC, the angles adjacent to it are those that share a common ray and do not overlap with angle DOC.

The adjacent angles to angle DOC would be:

1. Angle BOC (to the left of DOC)
2. Angle DOE (to the right of DOC)

Thus, there are 2 angles (BOC and DOE) that are adjacent to angle DOC.