Question

In Fig, transversal l intersects two lines m and n, ∠4 = 110° and ∠7 = 65°. Is m || n?

Answer 1

Given,

∠4 = 110°,

∠7 = 65°

To find: m ‖ n

Here,

∠7 = ∠5 = 65°(Vertically opposite angle)

Now,

∠4 + ∠5 = 110° + 65°

= 175°

Therefore,

m is parallel to n as the pair of co interior angles is not supplementary.