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