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Solving Problems, SM-Bank 021

In the diagram below, \(BE\) is parallel to \(CD\), and \(\angle ABE = 160^{\circ} \).
  

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

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\(\angle DBE = 180-160=20^{\circ}\ \ \text{(180° in a straight line)}\)

\(180^{\circ}\) \(=x+20+110\ \ \text{(cointerior angles)} \)  
\(x^{\circ}\) \(=180-130\)  
  \(=50^{\circ}\)  
Show Worked Solution

\(\angle DBE = 180-160=20^{\circ}\ \ \text{(180° in a straight line)}\)

\(180^{\circ}\) \(=x+20+110\ \ \text{(cointerior angles)} \)  
\(x^{\circ}\) \(=180-130\)  
  \(=50^{\circ}\)