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?

Adjacent Angles - Part 2

Hence angles are overlapping each other

So, they are not adjacent angles

 

Are the angles adjacent to each other?

Adjacent Angles - Part 3

Hence, the angles do not share a common side

So, they are not adjacent angles

 

Are the angles adjacent to each other?

Adjacent Angles - Part 4

Hence, the angles do not share a common vertex

So, they are not adjacent angles

 

Are the angles adjacent to each other?

Adjacent Angles - Part 5

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?

Adjacent Angles - Part 6

 

Here,

  Angles do not have a common vertex

 

∴ They are not adjacent angles

 

Are the angles adjacent to each other?

Adjacent Angles - Part 7

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?

Adjacent Angles - Part 8

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?

Adjacent Angles - Part 9

Here,

Angles do no have a common vertex

 

∴ They are not adjacent angles

 

Are the angles adjacent to each other?

Adjacent Angles - Part 10

Here,

  Angles are overlapping each others

 

So, they are not adjacent angles

 

Are the angles adjacent to each other?

Adjacent Angles - Part 11

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?

Adjacent Angles - Part 12

 

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?

Adjacent Angles - Part 13

 

Here,

  Angles are overlapping each others

 

So, they are not adjacent angles.

 

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

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.