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

A. 90°

B. 85°

C. 75°

D. 70°

1 Answer

+1 vote
by (36.4k points)
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Best answer

Given that,

l1 ‖ l2

Let transversal P and Q cuts them

∠1 = 37°

∠4 = 58°

∠5 = x°

∠1 = ∠2 = 37°(Corresponding angles) (i)

∠2 = ∠3 (Vertically opposite angle)

∠3 = 37°

∠3 + ∠4 + ∠5 = 180°(Linear pair)

37° + 58° + x = 180°

x = 85°

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