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Question -

In the figure, if l1 || l2 and l3 || l4 what is y in terms of x?
(a) 90 + x
(b) 90 + 2x
(c) 90 – x /2
(d) 90 – 2x



Answer -

In the figure,

l1 ||l2 and l3 || l4 and m is theangle bisector
∴ ∠2 = ∠3 = y
∵ l1 ||l2
∠1 = x(Corresponding angles)
∵ l3 ||l4
∴ ∠1 + (∠2 + ∠3) =180° (Co-interior angles)
⇒ x +2y= 180°
⇒ 2y=180°-x

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