In Fig 8.118, transversal l intersects two lines m and n, ∠4= 110° and ∠7 = 65°. Is m||n?

Question

In Fig 8.118, transversal l intersects two lines m and n , &#x2220; 4= 110&#xB0; and &#x2220; 7 = 65&#xB0;. Is m || n ?

Philoid · Accepted Answer

Given,

∠4 = 110^o,

∠7 = 65^o

To find: m ‖ n

Here,

∠7 = ∠5 = 65^o(Vertically opposite angle)

Now,

∠4 + ∠5 = 110^o + 65^o

= 175^o

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