Find the value of x.

27°

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36°

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54°

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72°

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Solution

The correct option is A 27°
From the figure, ABCD is a quadrilateral.
Hence the sum of the angles of a quadrilateral is 360° which is called as angle sum property.

$∠$ ABC + $∠$ BCD + $∠$ CDA + $∠$ DAB = 360° (Angle sum property)

$\to$ 108° + 2x + 68° + 130° = 360° .
$\to$ 2x + 306° = 360°.
$\to$ 2x = 360° - 306° = 54°.
$\to$ x = $\frac{54 °}{2}$ = 27°
$\to$ x = 27°.

Thus the value of x is 27°.

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