Question

Heya !!

Prove the theorem - 6.1

If two each other then the vertically opposite angles are equal.

Help needed !!

Thank you in advance.

Answer 1

Theorem 6.1 :

If two lines intersect each other then the vertically opposite angles are equal.

For your solution refer to the above attachment !!

Answer 2

Refer the attachment for figure.

In the given figure, AB and CD are two lines which are intersecting at a point.


Since AB and CD are lines,

x + y = 180° (linear pair)

also,

a + y = 180°

Equating the two we get,

x + y = a + y

=> x = a

Similarly,

x + b = 180°

x + y = 180°

=> x + y = x + b

=> y = b

Hence, vertically opposite angles are equal