Q21 of 115 Page 8

In Fig. 8.133, if l1 || l2 and l3 || l4, what is y in the terms of x?

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 = 180o (Consecutive interior angle)


y = 90o -

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