Question

# Find the value of x.

A
27°
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B
36°
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C
54°
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D
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) → 108° + 2x + 68° + 130° = 360° . → 2x + 306° = 360°. → 2x = 360° - 306° = 54°. → x =54°2 = 27° → x = 27°. Thus the value of x is 27°.

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