Adjacent Angles

Two angles are Adjacent when they have a common side and a common vertex (corner point), and don't overlap.

adjacent angles

Angle ABC is adjacent to angle CBD

Because:

  • they have a common side (line CB)
  • they have a common vertex (point B)

What Is and Isn't an Adjacent Angle

adjacent angles

Adjacent Angles

they share a vertex and a side

not adjacent angles

NOT Adjacent Angles

they only share a vertex, not a side

not adjacent angles

NOT Adjacent Angles

they only share a side,
not
a vertex

Don't Overlap!

ALSO the angles must not overlap.

not adjacent angles

NOT Adjacent Angles

angles a and b overlap

 

2104, 2105