Correct Answer: Option D

Explanation

In the diagram above:

x = x\(_1\) alternate angles

y = y\(_1\)  same reason

(x\(_1\) + y\(_1\)) + x + y = 180º

(x + y) + x + y = 2 x 90º

2(x + y) = 2 x 90º

⇒ x + y = 90º

but Z = (x\(_1\) + y\(_1\)) = 90º

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