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Solving Problems, SM-Bank 025

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

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\(11°\)

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\(\angle ADE + \angle DAC = 180^{\circ}\ \ \text{(cointerior angles)}\)

\(\angle ADE = 180-92=88^{\circ}\)

\(44+4x\) \(=88\)  
\(4x\) \(=44\)  
\(x^{\circ}\) \(=\dfrac{44}{4} \)  
  \(=11^{\circ}\)  

Filed Under: Solving Problems Tagged With: num-title-ct-core, smc-4926-25-Cointerior

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