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. 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

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

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

∠DOB
angle upper D upper O upper B

∠AOD

Answer 1

To determine which angle(s) are adjacent to ∠DOC, we need to identify the adjacent angles formed by the rays emerging from point O.

Given that the points are A, B, C, D, and E in a counterclockwise direction with points A, O, and E falling in a straight line, we can analyze the angles:

1. ∠AOB and ∠EOD are adjacent to ∠DOC because they share the ray OB and ray OC respectively.
2. ∠AOD is also adjacent since it shares the ray OD with ∠DOC.
3. ∠DOB is specifically adjacent because it shares the ray OD as well.

Thus, the best answer is:

∠EOD and ∠COB (angle upper E upper O upper D and angle upper C upper O upper B).