Question

Q 16. Prove that if two lines
intersect each other, then
vertically opposite angles are
equal ​

Answer 1

Answer:

f two lines intersect each other, then the vertically opposite angles are equal. Theorem 6.1 : If two lines intersect each other, then the vertically opposite angles are equal. In the statement above, it is given that 'two lines intersect each other'. So, let AB and CD be two lines intersecting at O as shown in Fig

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Proof:

As per the problem we need to prove,  

Now on line AB,

On line CD,

Hence,  

--------------(Proved)

On line AB,

On Line CD,

Hence,  

…………(Proved)

Hence the statement 'if two lines intersect each other then vertically opposite angles are equal' is proved.