Adjacent Angles

Two angles are adjacent when they share 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)
  • they don't overlap

What Is and Is Not 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

not adjacent angles

NOT Adjacent Angles

angles a and b overlap

Clock showing adjacent angles

Example: Clock Hands

Clock hands can often form adjacent angles between them, but can you think of times they won't?

Summary

Two angles are adjacent when they:

 

2104, 2105