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Properties of Geometric Figures, SM-Bank 036

\(ABCD\) is a parallelogram.
 

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

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\(AB \parallel DC \ \ \text{(opposite sides of parallelogram)} \)

\(a+125\) \(=180\ \ \text{(cointerior angles)} \)  
\(a^{\circ}\) \(=180-125\)  
  \(=55^{\circ}\)  
Show Worked Solution

\(AB \parallel DC \ \ \text{(opposite sides of parallelogram)} \)

\(a+125\) \(=180\ \ \text{(cointerior angles)} \)  
\(a^{\circ}\) \(=180-125\)  
  \(=55^{\circ}\)  

Filed Under: Quadrilaterals and other Tagged With: num-title-ct-core, smc-5009-60-Multi-step problems

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