Math, asked by palakchandola33, 1 year ago

Prove that vertically opposite angles are equal.

Answers

Answered by ravi34287
167
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 = ∠3 Similarly, we can prove ∠2 = ∠4 also.

anishchoudhary937: 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 = ∠3 Similarly, we can prove ∠2 = ∠4 also.
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