In the diagram below, find the value of \(x^{\circ}\), giving reasons for your answer. (2 marks)
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\(\angle y^{\circ} = 180-(52+90) = 38^{\circ}\ \ \text{(180° in straight line)} \)
\(\angle x^{\circ}=38^{\circ}\ \ \text{(alternate angles)}\)
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\(\angle y^{\circ} = 180-(52+90) = 38^{\circ}\ \ \text{(180° in straight line)} \)
\(\angle x^{\circ}=38^{\circ}\ \ \text{(alternate angles)}\)