In Fig. 8.133, if l 1 || l 2 and l 3 || l 4 , what is y in the terms of x ?

Question

Philoid · Accepted 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^o (Consecutive interior angle)

y = 90^o -

In Fig. 8.133, if l1 || l2 and l3 || l4, what is y in the terms of x?