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

∠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
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

Answer 1

To determine which angle(s) are adjacent to ∠DOC, we first need to identify the angles based on the arrangement of points A, B, C, D, and E around point O.

Adjacent angles share a common vertex and a common side. In this case, ∠DOC has the common vertex O and the side OC.

The angles that have the common side OC and share the vertex O would be:

1. ∠EOD (because it shares side OD)
2. ∠COB (because it shares side OC)

Thus, the angles adjacent to ∠DOC are ∠EOD and ∠COB.

So the correct answer is: ∠EOD and ∠COB.