Question

Prove that if two lines are intersecting, then the vertically opposite angles are equal.

Answer 1

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Answer 2

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 = ∠3

Similarly, we can prove ∠2 = ∠4 also.

Step-by-step explanation: