All the angles formed by two parallel lines and a transversal (cheat sheet)

When two parallel angles are cut across by a transversal, several different types of angles are formed.
They are:

  1. Vertical angle
  2. supplementary angle
  3. corresponding angle
  4. consecutive angle
  5. alternate interior angle
  6. alternate exterior angle


Here is a cheat sheet that can be used to identify all the angles formed two parallel lines and a transversal.



  1. 1 & 4 are vertical angles             ( <1 = <4)
  2. 2 & 3 are vertical angles             ( <2 = <3)
  3. 5 & 8 are vertical angles             ( <5 = <8)
  4. 6 & 7 are vertical angles                  ( <6 = <7)
  5. 1 & 2 are supplementary angles ( <1 + <2 = 180)         
  6. 1 & 3 are supplementary angles ( <1 + <3 = 180)
  7. 2 & 4 are supplementary angles ( <2 + <4 = 180)
  8. 3 & 4 are supplementary angles ( <3 + <4 = 180)
  9. 5 & 6 are supplementary angles ( <5 + <6 = 180)
  10. 5 & 7 are supplementary angles ( <5 + <7 = 180)
  11. 6 & 8 are supplementary angles ( <6 + <8 = 180)
  12. 7 & 8 are supplementary angles ( <7 + <8 = 180)
  13. 1 & 5 are corresponding angles ( <1 = <5)       
  14. 2 & 6 are corresponding angles ( <2 = <6)       
  15. 3 & 7 are corresponding angles ( <1 = <5)
  16. 4 & 8 are corresponding angles ( <4 = <8)
  17. 3 & 6 are alternate interior angles ( <3 = <6)
  18. 4 & 5 are alternate interior angles ( <4 = <5)
  19. 1 & 8 are alternate exterior angles ( <1 = <8)
  20. 2 & 7 are alternate exterior angles ( <2 = <7)
  21. 3 & 5 are consecutive interior angles (supplementary angles) ( <3 + <5 = 180)         
  22. 4 & 6 are consecutive interior angles (supplementary angles) ( <4 + <6 = 180)
  23. 1 & 7 are consecutive exterior angles (supplementary angles) ( <1 + <7 = 180)
  24. 2 & 8 are consecutive exterior angles (supplementary angles) ( <2 + <8 = 180)



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