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In \(\triangle ABC\), the side \(AC\) is extended to \(P\), and the side \(CB\) is extended to \(Q\). If the angles \(\angle a =\) 125\(^\circ\), and \(\angle b =\) 118\(^\circ\), find the angle \(\angle BAC\).
 
\(\angle BAC =\) \(^\circ\)