Q. 75.0( 1 Vote )

# For what value of x will l_{1} and l_{2} be parallel lines.

i.

ii.

Answer :

(i) Given: l_{1}||l_{2}

∠1 = (2x + 20)° and ∠2 = (3x-10)°

∵ Corresponding angles are equal

∴ ∠1 = ∠2

⇒ (2x + 20)° = (3x-10)°

⇒ x = 30°

ii. Given: l_{1}||l_{2}

∠1 = (2x)° and ∠2 = (3x + 20)°

∵ Co-interior angles are supplementary

∴ ∠1 + ∠2 = 180°

⇒ (2x)° + (3x + 20)° = 180°

⇒ 5x = 160°

⇒ x = 32°

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