5. Find the required angle of the triangle

 

In \(\triangle ABC\), the side \(AC\) is extended to \(P\), and the side \(CB\) is extended to \(Q\). If the angles \(\angle a =\) 107\(^\circ\), and \(\angle b =\) 130\(^\circ\), find the angle \(\angle BAC\).

 

\(\angle BAC =\) \(^\circ\)