(Prove that) If two lines intersect, vertically opposite angles are equal.
Give Correct Answer
Share
(Prove that) If two lines intersect, vertically opposite angles are equal.
Give Correct Answer
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
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
HOPE IT HELPS YOU,,,,,,,,