In Fig, POQ is a line. The value of x is:

20^{0}

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25^{0}

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30^{0}

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35^{0}

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Solution

The correct option is B $20^{0}$
Sum of the angles forming a linear pair is $180^{\circ}$
Here angles measuring $40^{\circ}, 4 x$ and $3 x$ form a linear pair.
So, $40^{\circ} + 4 x + 3 x = 180^{\circ}$
$7 x + 40^{\circ} = 180^{\circ}$
$x = 20^{\circ}$

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