Find the value of \(x^{\circ}\) in the diagram, giving reasons for your answer. (3 marks)
Show Worked Solution
\(\text{Extend the middle parallel line:}\)
\(\text{Alternate angles are equal}\ (x^{\circ}) \).
\(\text{Cointerior angles sum to 180° (110° and 70°)}\)
\(x^{\circ} = 120-70=50^{\circ} \)