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ellenH45

Answer:

Because both lines intersect at one given point, this means that wherever they intersect both lines will have the same length on each side because that one point serves as the half way point between the intersection. meaning that if two lines cross and it creates the vertical angle of 150⁰ then by definition the side that is across that intersection point will also be 150⁰

saraharif006

Answer:

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.

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