Question

To verify, by paper cutting and pasting, that if two linear intersect at a point, then in each pair, vertically opposite angles are equal​

Answer 1

Answer:-

If two lines i.e. AB & CD intersect each other. They have two pairs 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.

Step-by-step explanation: