Question

In the given figure, if l || m, then x =

Options

• 105°

• 65°

• 40°

• 25°

Answer 1

The given figure:

Let us draw a line n parallel to l and m.

Thus, we can say that  l || m ||n.

Also, from the figure we get :

x = ∠1 + ∠2                ...(i)

Since. l || n

Thus, alternate interior opposite angles are equal. That is,

 ∠1 = 65°                    ...(ii)

Since m||n.

Thus, alternate interior opposite angles are equal. That is,

 ∠2 = 40°                 ...(iii)

On substituting, equation (ii) and (iii) in (i):

 x = 40°+65°

x = 105°