In the diagram below, \(BC\) is parallel to \(DE\) and \(\angle ACB\) is a right-angle.
Find the value of \(x^{\circ}\), giving reasons for your answer. (3 marks)
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\(\text{Extend line}\ BC: \)
\(\angle GCF=180-120=60^{\circ}\ \ \text{(180° in a straight line)}\)
\(x^{\circ} = 60^{\circ} \ \ \text{(corresponding angles)}\)
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\(\text{Extend line}\ BC: \)
\(\angle GCF=180-120=60^{\circ}\ \ \text{(180° in a straight line)}\)
\(x^{\circ} = 60^{\circ} \ \ \text{(corresponding angles)}\)