Q. 294.6( 5 Votes )

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

A. 105°

B. 65°

C. 40°

D. 25°

Answer :

Given that,

l ‖ m and n cuts them

Let,

∠1 = 65^{o}

∠2 = x

∠3 = 40^{o}

∠1 = ∠4 = 65^{o} (Alternate angle) (i)

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

40^{o} + 65^{o} + ∠5 = 180^{o}

∠5 = 75^{o}

Now,

∠2 + ∠5 = 180^{o} (Linear pair)

x + 75^{o} = 180^{o}

x = 105^{o}

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