Question

. If two lines intersect each other, then vertically opposite angles are equal.
PROVE THAT
QUICK

Answer 1

figure to be drawn

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.

therefore, vertically opp. angles are equal to each other

Answer 2

here is your answer hope this will help you