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Solving Problems, SM-Bank 008

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

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\(40^{\circ}\)

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\(\text{Since cointerior angles sum to 180°:}\)

\(180\) \(=x+65+75\)  
\(180\) \(=x+140\)  
\(x^{\circ}\) \(=180-40\)  
  \(=40^{\circ}\)