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 $\angle BAC$.

 

$\angle BAC =$ $^\circ$