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Solving Problems, SM-Bank 028

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

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\(14°\)

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\(\angle RQT + \angle UTQ\) \(=180\ \ \text{(cointerior angles)}\)  
\(110+5x\) \(=180\)  
\(5x\) \(=180-110\)  
\(x^{\circ}\) \(=\dfrac{70}{5}\)  
  \(=14^{\circ}\)