Value of $x$ , if line $p | | q$

40^{o}

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30^{o}

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90^{o}

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60^{o}

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Solution

The correct option is B $30^{o}$
Concept: Sum of co-interior angles is $180^{o}$

Here, $2 x + 50 & x + 40$ are co-interior angles.

$2 x + 50 + x + 40 = 180^{o} 3 x + 90 = 180^{o} 3 x = 180^{o} - 90^{o} 3 x = 90^{o} x = 30^{o}$
Hence, correct option is $(b)$ .

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