Find the value of \(x^{\circ}\) in the diagram, giving reasons for your answer. (2 marks)
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\(\text{Angle above}\ \angle (3x)^{\circ} = (180-3x)^{\circ}\ \ \text{(180° in a straight line)}\)
| \(180-3x\) | \(=x\ \ \text{(corresponding angles)} \) | |
| \(4x\) | \(=180\) | |
| \(x^{\circ}\) | \(=\dfrac{180}{4}\) | |
| \(=45^{\circ}\) |