If any two angles have a common side or vertex without overlapping each other, they are called adjacent angles. See the below image:

Angle XYZ and angle ZYD have a common side ZY and common vertex Y so the angle XYZ is adjacent to the angle ZYD

## When is any angle not called adjacent angle?

As we know, there should be a common side and vertex for becoming adjacent angles. If these conditions are not fulfilled, then the angels will not be adjacent angles. See the below images:

1. When angles share only a vertex, they are not adjacent angles.

2. When angles share only a side, they are not adjacent angles.

3. When angles share the side and vertex, but they are overlapping each other.

## Adjacent angles examples

Below images are the examples of adjacent angles: