Question

In the given figure, l || m. Find the values of w, x, y and z.

Answer 1

It is given that, l is parallel to m and p and q are the transversals.

Now, x + 100^∘ = 180^∘ (linear pair)
⇒ x = 180^∘ − 100^∘ = 80^∘

Now, x and w are corresponding angles
∴ w = x = 80$°$

Also, y = 120$°$ (vertically opposite angles)

Now the sum of the vertically opposite angle of z and 120 should be equal to 180$°$
(∵ interior angles on same side of transversal)
∴ vertically opposite angle of z + 120$°$ = 180$°$
⇒ vertically opposite angle of z = 180^∘ − 120^∘ = 60^∘

Hence, z = 60$°$