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

A. 180 – w + z

B. 180 + w – z

C. 180 – w – z

D. 180 + w + z

1 Answer

+1 vote
by (36.4k points)
selected by
 
Best answer

Given that,

l1 ‖ l2

Let m and n be two transversal cutting them

∠w + ∠x = 180°(Consecutive interior angle)

x = 180° – w (i)

z = y (Alternate angles) (ii)

From (i) and (ii), we get

x + y = 180° – w + z

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