The lines \(\overline{AB}\) and \(\overline{XY}\) intersect at at \(O\). If \(\angle AOX\) \(=\) \(144^{\circ}\) and \(\angle YOB\) \(=\) \(4x\), then find the value of \(x\).
 
Answer:
 
The value of \(x\) is \(^{\circ}\).