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

∠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
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Answer 1

To determine which angles are adjacent to ∠DOC, we need to identify the angles that share a common side and vertex with ∠DOC.

Given the rays and points A, B, C, D, and E:

1. **∠DOC** shares the side OD with ∠DOB and the side OC with ∠COB.
2. **Adjacent angles** are typically those that are formed next to each other at a common vertex without overlapping.

Based on the description, the angles adjacent to ∠DOC would be:

- ∠EOD (next to side OD)
- ∠COB (next to side OC)

Thus, the correct response is:

**∠EOD and ∠COB**