Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Theorems
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
Theorem 6.5 Important Deleted for CBSE Board 2024 Exams You are here
Theorem 6.7 Important Deleted for CBSE Board 2024 Exams
Theorem 6.8 Deleted for CBSE Board 2024 Exams
Last updated at May 29, 2023 by Teachoo
Theorem 6.5 :- If a transversal intersects two lines, such that the pair of interior angles on the same side of the transversal is supplementary, then the two lines are parallel. Given :- Two parallel lines AB and CD and a transversal PS intersecting AB at Q and CD at R such that BQR + DRQ = 180 To Prove :- AB CD. Proof :- For lines PS DRQ + DRS = 180 But, BQR + DRQ = 180 From (1) & (2) DRQ + DRS = BQR + DRQ DRS = BQR But they are corresponding angles. Thus, for lines AB & CD with transversal PS, corresponding angles are equal Hence AB and CD are parallel. Hence proved