Adjacent Angles

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

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?

Hence angles are overlapping each other

So, they are not adjacent angles

Are the angles adjacent to each other?

Hence, the angles do not share a common side

So, they are not adjacent angles

Are the angles adjacent to each other?

Hence, the angles do not share a common vertex

So, they are not adjacent angles

Are the angles adjacent to each other?

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?

Here,

  Angles do not have a common vertex

∴ They are not adjacent angles

Are the angles adjacent to each other?

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?

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?

Here,

Angles do no have a common vertex

∴ They are not adjacent angles

Are the angles adjacent to each other?

Here,

  Angles are overlapping each others

So, they are not adjacent angles

Are the angles adjacent to each other?

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?

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?

Here,

  Angles are overlapping each others

So, they are not adjacent angles.