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Theorem : The opposite angles formed by two intersecting lines are of equalare of equal mdeasGiven: Line AB and line CD intersect at point O such that A-0-B. C..To prove: (i) ZAOC- ZBOD(ii) ZBOC LAOD0 |
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Answer» Given two lines AB and CD intersect each other at the point O.To prove: ∠1 = ∠3 and ∠2 = ∠4Proof:From the figure, ∠1 + ∠2 = 180° [Linear pair] → (1)∠2 + ∠3 = 180° [Linear pair] → (2)From (1) and (2), we get∠1 + ∠2 = ∠2 + ∠3∴ ∠1 = ∠3Similarly, we can prove ∠2 = ∠4 also. |
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