Question

EXERCISE 6.2
In Fig. 6.28, find the values of x and y and then
show that AB II CD.
50
B
130
Fig. 6.28​

Answer 1

Here, ∠x+50

0

=180

0

--- straight line

∠x=180

0

−50

0

∠x=130

0

And ∠y=130

0

--- vertically opposite angles

Thus, ∠x=∠y=130

0

Using Theorem: If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel.

Thus, AB∥CD