In Fig., if l1 || l2 and l3 || l4, what is y in the terms of x?A. 90 +

1.	In Fig., if l1 \|\| l2 and l3 \|\| l4, what is y in the terms of x?A. 90 + xB. 90 + 2xC. 90 - \(\frac{x}{2}\)D. 90 – 2x
Answer» Given that, l₁ ‖ l₂ and l₃ ‖ l₄ Let, ∠1 = x ∠2 = y ∠3 = y ∠1 = ∠4 (Alternate angle) ∠4 = x ∠5 = ∠2 (Vertically opposite angle) ∠6 = ∠3 (Vertically opposite angle) ∠5 = ∠6 = y Now, ∠4 + ∠5 + ∠6 = 180°(Consecutive interior angle) y = 90° - \(\frac{x}{2}\)

In Fig., if l1 || l2 and l3 || l4, what is y in the terms of x?A. 90 + xB. 90 + 2xC. 90 - \(\frac{x}{2}\)D. 90 – 2x

Answer»

Given that,

l₁ ‖ l₂ and l₃ ‖ l₄

Let,

∠1 = x

∠2 = y

∠3 = y

∠1 = ∠4 (Alternate angle)

∠4 = x

∠5 = ∠2 (Vertically opposite angle)

∠6 = ∠3 (Vertically opposite angle)

∠5 = ∠6 = y

Now,

∠4 + ∠5 + ∠6 = 180°(Consecutive interior angle)

y = 90° - \(\frac{x}{2}\)