63.jpg

Corresponding angles have

  • Different vertices
  • Are on same side of transversal
  • Have corresponding positions i.e. both upper left or lower left or upper right or lower right

64.jpg

So, corresponding angles are

  • ∠ 1 and ∠ 5
  • ∠ 2 and ∠ 6
  • ∠ 3 and ∠ 7
  • ∠ 4 and ∠ 8

For parallel lines,

corresponding angles are equal

 

Therefore,

∠1 = ∠5                                                                                                                                                    ∠2 = ∠6

66.jpg

 

∠3 = ∠7                                                                                                                         ∠4 = ∠8

67.jpg

To summarise,

 

68.jpg

Type Angles
Interior angles ∠3, ∠4, ∠5, ∠6
Exterior angles ∠1, ∠2, ∠7, ∠8
Pairs of Corresponding angles

∠1 and ∠5, ∠2 and ∠6,

∠3 and ∠7, ∠4 and ∠8

Pairs of Alternate interior angles ∠3 and ∠6, ∠4 and ∠5
Pairs of Alternate exterior angles ∠1 and ∠8, ∠2 and ∠7
Pairs of interior angles on the same side of the transversal ∠3 and ∠5, ∠4 and ∠6
  1. Chapter 5 Class 7 Lines and Angles
  2. Concept wise

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.