Q-1 In the figure, find the value of and and then show that

Solution,

Give line of AB and CD and it is parallel to each other. Also give angle x and y

(Linear pair)

Also,

(Vertically opposite)

Now,

(Alternate interior angles)

Alternate interior angles are equal. Therefore

Q-2 In the figure, if and find x.

Solution:

Given, and

Now,

(Angles on the same side of transversal)

Also,

(Corresponding angles) and,

(Linear pair)

Equation,

and

°

and

Now,