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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.