Adjacent angles are angles that are side by side.

 

Adjacent angles have

  • Common vertex
  • Common side
  • No overlap of angles

Let’s look at some examples

20.jpg

Here, the angles are adjacent as

  • They have common vertex O
  • They have common side OB
  • There is no overlap

Are the angles adjacent to each other?

21.jpg

Hence angles are overlapping each other

So, they are not adjacent angles

 

Are the angles adjacent to each other?

22.jpg

Hence, the angles do not share a common side

So, they are not adjacent angles

 

Are the angles adjacent to each other?

23.jpg

Hence, the angles do not share a common vertex

So, they are not adjacent angles

 

Are the angles adjacent to each other?

24.jpg

Here,

  • Angles have a common vertex O,
  • Angles have a common side OC,
  • And there is no overlap of angles.

∴ They are adjacent angles

 

Are the angles adjacent to each other?

25.jpg

 

Here,

  Angles do not have a common vertex

 

∴ They are not adjacent angles

 

Are the angles adjacent to each other?

26.jpg

Here,

  • Angles have a common vertex O,
  • They have a common side OB and
  • There is no overlap of angles

∴ They are adjacent angles

 

Are the angles adjacent to each other?

27.jpg

Here,

  • Angles have a common vertex O,
  • They have a common side OB and
  • There is no overlap of angles

∴ They are adjacent angles

 

 

Are the angles adjacent to each other?

28.jpg

Here,

Angles do no have a common vertex

 

∴ They are not adjacent angles

 

Are the angles adjacent to each other?

29.jpg

Here,

  Angles are overlapping each others

 

So, they are not adjacent angles

 

Are the angles adjacent to each other?

30.jpg

Here,

  • Angles have a common vertex O,
  • They have a common side OQ and
  • There is no overlap of angles

∴ They are adjacent angles

 

Are the angles adjacent to each other?

31.jpg

 

Here,

  • Angles have a common vertex O,
  • They have a common side OB and
  • There is no overlap of angles

∴ They are adjacent angles

 

Are the angles adjacent to each other?

33.jpg

 

Here,

  Angles are overlapping each others

 

So, they are not adjacent angles.

 

  1. Chapter 5 Class 7 Lines and Angles
  2. Concept wise

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.