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Long Answer Questions49. Prove that if two lines intersect each other, then the vertically opposite angles are equal.INCERT Eors of rhe inter |
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Answer» Given two lines AB and CD intersect each other at the point O.To prove:∠1 =∠3 and∠2 =∠4 Proof: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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