Prove that when 2 lines intersect each other ,then the vertically opposite angles formed are equal. plz help fast

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 this helps

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answer: 48

just remember to use pemdas:

parentheses

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multiplication

division

addition

subtraction

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