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.