Theorem 6.6 :- Lines which are parallel to the same lines are parallel to each other. Given :- Three lines l, m, n and a transversal t such that l m and m n . To Prove :- l n. Proof :- From (1) and (2) 1 = 3 But they are corresponding angles. For lines l & n with transversal t, corresponding angles are equal Hence l and n are parallel. Hence l n 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.