Question

Question: Verify that if two lines intersect at a point, the each pair of vertically opposite angles are equal by paper cutting and pasting.​

Answer 1

Step-by-step explanation:

Solution



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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.