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.

Question

Which angle(s) are adjacent to ∠DOC
?

(1 point)

A. ∠EOD and ∠COB

B. ∠AOB and ∠EOA

C. ∠AOD

D. ∠DOB

Answer 1

To determine which angle(s) are adjacent to ∠DOC, we need to understand that two angles are adjacent if they share a common ray and do not overlap.

Given that we have the angles ∠AOB, ∠EOD, ∠COB, ∠AOD, and ∠DOB, we can analyze the relations:

• ∠DOC shares the ray OD with ∠DOB.
• ∠DOC also shares the ray OC with ∠COB.

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

However, since we are analyzing the options provided, we find that:

D. ∠DOB is the only angle listed that is adjacent to ∠DOC, as it shares the ray OD.

So, the answer is:

D. ∠DOB.