Theorems

Theorem 6.1

Theorem 6.6

Theorem 6.2 Important Deleted for CBSE Board 2024 Exams

Theorem 6.3 Deleted for CBSE Board 2024 Exams

Theorem 6.4 Deleted for CBSE Board 2024 Exams You are here

Theorem 6.5 Important Deleted for CBSE Board 2024 Exams

Theorem 6.7 Important Deleted for CBSE Board 2024 Exams

Theorem 6.8 Deleted for CBSE Board 2024 Exams

Chapter 6 Class 9 Lines and Angles

Serial order wise

Last updated at April 16, 2024 by Teachoo

Theorem 6.4 :- If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary. Given :- Two parallel lines AB and CD and a transversal PS intersecting AB at Q and CD at R. To Prove :- Sum of interior angle on same side of transversal is supplementary. i.e, ∠ AQR + ∠ CRQ = 180° and ∠ BQR + ∠ DRQ = 180° Proof:- Putting (1) in (2) ∠ AQR + ∠ CRQ = 180° Similarly, we can prove ∠ BQR + ∠ DRQ = 180° Hence, sum of interior angles on same side of transversal is 180° Hence proved