Question

if two lines intersect then prove that vertically oppsite angles are equal.​

Answer 1

if two lines intersect then prove that vertically oppsite angles are equal.​

Answer 2

Answer:

Let lines l and m intersect at O...

Picture in attachment.

Now,

To Prove : angle NOP = angle LOM

Proof:-

angle NOP + angle NOL = 180° ----(i)

angle NOL + angle LOM = 180° ----(ii)

Since both equations equal to 180° , therefore eq.(i) = eq.(ii)

So,

• angle NOP + angle NOL = angle NOL + angle LOM

• angle NOP + angle NOL - angle NOL = angle LOM

((angle LOM cancels out ))

• angle NOP = angle LOM

Hence , Proved.