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Adjacent Angles Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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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.

How many angles are adjacent to angle DOC ?

1 answer

To determine how many angles are adjacent to angle DOC, we first need to understand the positioning of the rays and the angles they form.

In the illustration given, the rays coming from point O and labeled A, B, C, D, and E create several angles at point O:

  • Angle AOB
  • Angle BOC
  • Angle COD
  • Angle DOE
  • Angle EOA

Angle DOC is the angle formed between rays OC and OD. To find the angles that are adjacent to angle DOC, we need to identify the angles that share a ray with angle DOC and do not overlap with it.

The angles adjacent to angle DOC are:

  1. Angle BOC (shares ray OB)
  2. Angle DOE (shares ray OD)

Therefore, there are 2 angles that are adjacent to angle DOC.