Question

prove that if two lines intersect each other, then the vertically opposite angles are equal​

Answer 1

Answer:

If two lines intersect each other, then the vertically opposite angles are equal. Proof : ... They lead to two pairs of vertically opposite angles, namely, (i) ∠ AOC and ∠ BOD (ii) ∠ AOD and ∠ BOC

Theorem of mathematics

Answer 2

Answer:

Given-

let AB and CD be two lines which intersect at O

Proof-

∠AOC + ∠AOD = 180   -1 (Linear pair)

∠AOC + ∠COB = 180          -2 (linear pair)

equating equation 1 and 2

∠AOC + ∠AOD = ∠AOC + ∠COB

 ∠AOD = ∠COB

Hence Proved