(Prove that) If two lines intersect, vertically opposite angles are equal.
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Varsha3862:
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Step-by-step explanation:
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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