Question

prove that it two lines interset each other then vertically opposite angle are equal​

Answer 1

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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Answer 2

$1 = 3 \\ 2 = 4$

❌ AOD = DOB

DOB= BOC