Question

Use the image to answer the 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
?

(1 point)
Responses

∠EOD
and ∠COB
angle upper E upper O upper D and angle upper C upper O upper B

∠AOD
angle upper A upper O upper D

∠AOB
and ∠EOA
angle upper A upper O upper B and angle upper E upper O upper A

∠DOB
angle upper D upper O upper B
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Answer 1

To determine which angle(s) are adjacent to ∠DOC, we need to consider the definition of adjacent angles. Two angles are adjacent if they share a common vertex and a common side, but do not overlap.

In this case:

- ∠DOC has the rays OD and OC.
- The angles adjacent to ∠DOC would be the angles that share ray OC and ray OD.

Based on the configuration:

1. **∠EOD** uses ray OD and a ray leading towards point E, making it adjacent to ∠DOC.
2. **∠COB** uses ray OC and a ray leading towards point B, making it adjacent to ∠DOC.

Thus, the angles that are adjacent to ∠DOC are:

**∠EOD and ∠COB** (angle EOD and angle COB).