Question

Prove that, . The opposite angles formed by two intersecting lines are of equal measures.​

Answer 1

Step-by-step explanation:

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

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

If two lines i.e. AB & CD intersect each other. They have two pair of opp. angles.i.e.∠AOC,∠DOB,∠AOB,∠COB.

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

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=∠COBProof :-

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=∠COBProof :-∠AOC+∠AOD=180

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=∠COBProof :-∠AOC+∠AOD=180 ∘

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=∠COBProof :-∠AOC+∠AOD=180 ∘ [linear pair] ___(1)

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=∠COBProof :-∠AOC+∠AOD=180 ∘ [linear pair] ___(1)∠AOD+∠BOD=180

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=∠COBProof :-∠AOC+∠AOD=180 ∘ [linear pair] ___(1)∠AOD+∠BOD=180 ∘

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=∠COBProof :-∠AOC+∠AOD=180 ∘ [linear pair] ___(1)∠AOD+∠BOD=180 ∘ [linear pair] ___(2)

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=∠COBProof :-∠AOC+∠AOD=180 ∘ [linear pair] ___(1)∠AOD+∠BOD=180 ∘ [linear pair] ___(2)from eq. (1) & (2)

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=∠COBProof :-∠AOC+∠AOD=180 ∘ [linear pair] ___(1)∠AOD+∠BOD=180 ∘ [linear pair] ___(2)from eq. (1) & (2)∠AOC+∠AOD=∠AOD+∠BOD

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=∠COBProof :-∠AOC+∠AOD=180 ∘ [linear pair] ___(1)∠AOD+∠BOD=180 ∘ [linear pair] ___(2)from eq. (1) & (2)∠AOC+∠AOD=∠AOD+∠BODi.e. [∠AOC=∠BOD]

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=∠COBProof :-∠AOC+∠AOD=180 ∘ [linear pair] ___(1)∠AOD+∠BOD=180 ∘ [linear pair] ___(2)from eq. (1) & (2)∠AOC+∠AOD=∠AOD+∠BODi.e. [∠AOC=∠BOD]Similarly [∠AOD=∠COB] Hence proved.

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