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Properties of Geometric Figures, SM-Bank 039

Determine the value of \(x^{\circ}\) in the quadrilateral above, giving reasons for your answer.     (2 marks)

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\(30^{\circ}\)

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\(\text{Angle sum of quadrilaterals = 360°:} \)

\(360\) \(=2x + 3x + 4x + 2x \)  
\(12x^{\circ}\) \(=360\)  
\(x^{\circ}\) \(=\dfrac{360}{12}\)  
  \(=30^{\circ}\)