How cute is that triangle?Geometry Level 4
In acute triangle \(ABC\), we have \(\angle CAB = 70^\circ\). \(D\) is the foot of the perpendicular from \(B\) to \(AC\), and \( \angle DBC = 30^\circ\). \(P\) is a point on line segment \(BD\) such that \( \angle PAB = 40^\circ\). What is the measure (in degrees) of \( \angle PCA\)?