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Properties of Geometric Figures, SM-Bank 032

Find the value of \(x^{\circ}\) in the diagram below.   (2 marks)
 

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\(110^{\circ}\)

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\(\text{Since there are 360° in a quadrilateral:}\)

\(360\) \(=x+55+105+90\)  
\(360\) \(=x+250\)  
\(x^{\circ}\) \(=360-250\)  
  \(=110^{\circ}\)