Solving Problems, SM-Bank 022

In the diagram below, \(DG\) is parallel to \(BC\), and \(\angle ABC = 115^{\circ} \).

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

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\(\angle CBE = 180-115=65^{\circ}\ \ \text{(180° in a straight line)}\)

\(x^{\circ} = 65^{\circ}\ \ \text{(alternate angles)}\)

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\(\angle CBE = 180-115=65^{\circ}\ \ \text{(180° in a straight line)}\)

\(x^{\circ} = 65^{\circ}\ \ \text{(alternate angles)}\)