Question

In Fig., a transversal n cuts two lines l and m such that ∠2 = 65° and ∠8 = 65°. Are the lines parallel?

Answer 1

From the figure ∠2 = ∠3 are vertically opposite angels,

∠2 = ∠3 = 65°

∠8 = ∠6 = 65°

Therefore, ∠3 = ∠6

Hence, l ∥ m