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The lines \(\overline{AB}\) and \(\overline{XY}\) intersect at at \(O\). If \(\angle AOX\) \(=\) \(84^{\circ}\) and \(\angle YOB\) \(=\) \(6x\), then find the value of \(x\).
 
Answer:
 
The value of \(x\) is \(^{\circ}\).