Find the value of \(x\) if lines A and B are two parallel lines cut by a transversal t.
\(115^\circ\)
When two parallel lines are cut by a transversal, the co-interior (same-side interior) angles are supplementary, adding to \(180^\circ\).
The \(65^\circ\) angle at line A and the angle \(x\) at line B are co-interior angles on the same side of the transversal.
Therefore \(x + 65^\circ = 180^\circ\), so \(x = 115^\circ\).
Hence, the value of \(x\) is \(115^\circ\).
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