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Theorems

Theorem 6.1

Theorem 6.2 Important Deleted for CBSE Board 2023 Exams

Theorem 6.3 Deleted for CBSE Board 2023 Exams

Theorem 6.4 Deleted for CBSE Board 2023 Exams You are here

Theorem 6.5 Important Deleted for CBSE Board 2023 Exams

Theorem 6.6

Theorem 6.7 Important Deleted for CBSE Board 2023 Exams

Theorem 6.8 Deleted for CBSE Board 2023 Exams

Last updated at June 29, 2018 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