In the given figure, find the values of x and y and then show that AB

1.	In the given figure, find the values of x and y and then show that AB \|\| CD.
Answer» It can be observed that, 50º + x = 180º (Linear pair) x = 130º … (1) Also, y = 130º (Vertically opposite angles) As x and y are alternate interior angles for lines AB and CD and also measures of these angles are equal to each other, therefore, line AB \|\| CD.

In the given figure, find the values of x and y and then show that AB || CD.

Answer»

It can be observed that,

50º + x = 180º (Linear pair)

x = 130º … (1)

Also, y = 130º (Vertically opposite angles)

As x and y are alternate interior angles for lines AB and CD and also measures of these angles are equal to each other, therefore, line AB || CD.