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Theorem 6.1 :- If two lines intersect each other, then the vertically opposite angles are equal. Given :- Two lines AB and CD intersecting at point O. To Prove :- Vertically opposite angles are equal i.e, AOC = BOD and AOD= BOC Proof :- From (1) and (2) AOC + BOC = AOD + AOC BOC = AOD Now, To prove BOD = AOC From (3) and (4) AOD + BOD = AOD + AOC BOD = AOC Hence, Vertically Opposite angles are equal.

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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 and Computer Science at Teachoo