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Solving Problems, SM-Bank 020

In the diagram below, \(QR\) is parallel to \(SU\).
  

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

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\(\angle STP = 38^{\circ}\ \ \text{(corresponding angles)}\)

\((x+30)^{\circ}\) \(=180-38\ \ \text{(180° in straight line)} \)  
\(x^{\circ}\) \(=142-30\)  
  \(=112^{\circ}\)  
Show Worked Solution

\(\angle STP = 38^{\circ}\ \ \text{(corresponding angles)}\)

\((x+30)^{\circ}\) \(=180-38\ \ \text{(180° in straight line)} \)  
\(x^{\circ}\) \(=142-30\)  
  \(=112^{\circ}\)