Question

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

(a) 105°

(b) 65°

(c) 40°

(d) 25°

Answer 1

The given figure:

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

Thus, we can say that .

Also, from the figure we get :

...(i)

Since .

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

...(ii)

Since .

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

...(iii)

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

Hence, the correct choice is (a).