Question

In Fig. 6.28, find the values of x and y and then
show that AB II CD.​

Answer 1

Answer:

find the values of x and y and then show that AB || CD.

Answe

x + 50o = 180o (Linear pair)

x = 180o - 50o

x = 130o

And,

y = 130o (Vertically opposite angles)

Now,

x = y = 130o (Alternate interior angles)

Hence,

The theorem says that when the lines are parallel, that the alternate interior angles are equal. And thus the lines must be parallel.

AB || CD