Question

Find the value of x in each of the given figures if l parallel m

Answer 1

Step-by-step explanation:

The given figure is,

Consider an angle y.

Two line l and m are parallel to each other and cut by a transversal t. So, angles y and makes pair of corresponding angles.

Angles x and y makes a linear pair. So,

Thus, value of is .

(ii)

The given figure is,

Two line l and m are parallel to each other and cut by a transversal.

If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary. So,

Thus, value of is .

(iii)

The given figure is,

Two line l and m are parallel to each other and cut by a transversal t. So, angles x and makes pair of corresponding angles.

Thus, value of is .