Q29 of 115 Page 8

In Fig. 8.141, if l || m, then x =

Given that,

l ‖ m and n cuts them


Let,


∠1 = 65o


∠2 = x


∠3 = 40o


∠1 = ∠4 = 65o (Alternate angle) (i)


∠3 + ∠4 + ∠5 = 180o (Angle sum property)


40o + 65o + ∠5 = 180o


∠5 = 75o


Now,


∠2 + ∠5 = 180o (Linear pair)


x + 75o = 180o


x = 105o

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