In the given figure, x = ___

$53^{\circ}$

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$50^{\circ}$

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$63^{\circ}$

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$70^{\circ}$

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Solution

The correct option is A
$53^{\circ}$

We know that sum of all exterior angles in any polygon = $360^{\circ}$

$∴ x^{\circ} + (180 - 95)^{\circ} + 72^{\circ} + 70^{\circ} + 80^{\circ} = 360^{\circ}$

$\Rightarrow x^{\circ} + 85^{\circ} + 72^{\circ} + 70^{\circ} + 80^{\circ} = 360^{\circ}$

$\Rightarrow x^{\circ} + 307^{\circ} = 360^{\circ}$

$\Rightarrow x^{\circ} = 53^{\circ}$

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