Question

When 2 lines intersect each other prove that vertically opposite angles are equal.​

Answer 1

Step-by-step explanation:

$\Rightarrow \angle AOC=\angle BOD$. From the figure, we can see that the angles $\angle AOC$ and $\angle BOD$ are vertically opposite angles. So, we have proved that if two lines intersect each other, then the vertically opposite angles are equal

Answer 2

we have to prove that angle AOC = angle DOB

so, angle AOC + angle AOD =180° (linear pair) equation-1

angle AOD + angle DOB=180°(same reason) equation -2

on comparing left side we get

angle AOC =angle DOB

hence it is proof ☑️