Question

lines a, b, c, and d intersect as shown. what is x? x =

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). The angle adjacent to \(124^{\circ}\) is \(180 - 124=56^{\circ}\)

Step2: Use the property of parallel lines (if \(c\) and \(d\) are parallel)

When two parallel lines are cut by a transversal, corresponding angles are equal. Here, \(x\) and the angle calculated in step 1 (\(56^{\circ}\)) are corresponding angles.

Answer:

\(56\)