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

$\angle$2 = $\angle$3 = 65° (Vertically opposite angles)
$\angle$8 = $\angle$6 = 65° (Vertically opposite angles)
∴ $\angle$3 = $\angle$6
⇒ l || m (Two lines are parallel if the alternate angles formed with the transversal are equal)