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in Lines and Angles by (38.0k points)
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In Fig., if l1 || l2 and l3 || l4, what is y in the terms of x?

A. 90 + x

B. 90 + 2x

C. 90 - \(\frac{x}{2}\)

D. 90 – 2x

1 Answer

+1 vote
by (36.4k points)
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Best 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° - \(\frac{x}{2}\)

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