Question

When two lines intersect each other then “Prove that vertically opposite angles are equal”

Answer 1

Step-by-step explanation:

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.