In the given figure, a transversal intersects two lines AB and CD such that
x + 50° = 180° (Linear pair axiom)
⇒ x = 180° – 50°
= 130° y = 130° (Vertically opposite angles)
Therefore, ∠x = ∠y = 130° (Alternate angles)
∴ AB || CD (Converse of alternate angles axiom) Proved.
