What Are Adjacent Angles? - Definition & Examples

What Are Adjacent Angles? - Definition & Examples
Coming up next: What is a Central Angle? - Definition, Theorem & Formula

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
 Replay
Your next lesson will play in 10 seconds
  • 0:00 Definition
  • 1:15 Examples
  • 3:03 Lesson Summary
Add to Add to Add to

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Log in or Sign up

Timeline
Autoplay
Autoplay
Speed

Recommended Lessons and Courses for You

Lesson Transcript
Instructor: Miriam Snare

Miriam has taught middle- and high-school math for over 10 years and has a master's degree in Curriculum and Instruction.

In this lesson, you will learn how to identify whether angles are adjacent. After looking at several examples, you will be able to test your knowledge with a quiz.

Definition

Adjacent angles are two angles that have a common vertex and a common side. The vertex of an angle is the endpoint of the rays that form the sides of the angle. When we say common vertex and common side, we mean that the vertex point and the side are shared by the two angles. Here's an example of adjacent angles:

Adjacent angles

In this diagram, point A is the vertex of all of the angles shown. Angle DAJ and angle JAT are adjacent angles because the red ray AJ forms a side of each of those angles.

You can think of adjacent angles as two pizza slices next to each other in the box. The corners of the slices are both at the center of the box; that's where the vertex is. The cut where the slices were separated from one another is the side the angles share.

In the whole pizza, there are several other pairs of adjacent angles. Every angle can have two possible different angles adjacent to it, one attaching to each side of it. Using our pizza slices, if you have three slices of pizza, the middle piece has two pieces that are adjacent to it. Just remember that adjacent angles refers to two angles at a time.

Examples

Can you name two pairs of adjacent angles here?

Adjacent angles

To unlock this lesson you must be a Study.com Member.
Create your account

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Become a Member  Back
What teachers are saying about Study.com
Try it risk-free for 30 days

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it risk-free for 30 days!
Create An Account
Support