Question

In the below fig, p is a transversal to lines m and n,`∠`2 = 120° and `a∠`5 = 60°. Prove that m || n.

Answer 1

Given that

`∠`2 = 120°, `∠`5 = 60°

To prove

`∠`2 + `∠`1 = 180°            [ ∵ Linear pair]

120° + `∠`1 = 180°

`∠`1 = 180° -120°

`∠`1 = 60°

Since `∠`1 = `∠`5 = 60°

∴ m || n   [As pair of corresponding angles are equal]