Question

prove that v.o.a. are equal to each other​

Answer 1

Answer:

If two lines i.e. AB & CD intersect each other. They have two pair of opp. angles.  i.e.

∠AOC,∠DOB,∠AOB,∠COB.

To prove :- ∠AOC=∠DOB & ∠AOD=∠COB  

Proof :-

∠AOC+∠AOD=180∘  [linear pair] ___(1)

∠AOD+∠BOD=180∘  [linear pair] ___(2)

from eq. (1) & (2)

∠AOC+∠AOD=∠AOD+∠BOD

i.e.  [∠AOC=∠BOD]

Similarly [∠AOD=∠COB]

Hence proved.