Question

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Explanation:

Step1: Find the angle adjacent to \(152^{\circ}\)

Since the sum of adjacent angles on a straight line is \(180^{\circ}\), the adjacent angle \(y = 180^{\circ}- 152^{\circ}\)
\(y=28^{\circ}\)

Step2: Use the property of parallel lines

Lines \(a\) and \(b\) are parallel (marked with red arrows). When a transversal \(t\) intersects parallel lines, alternate - interior angles are equal. So \(x = y\)

Answer:

\(x = 28\)