Find The Angle

Geometry Level 5

In \(\triangle ABC,\) \(\angle BAC = 65^{\circ}, \angle ABC = 40^{\circ}.\) Let \(D,E\) be the feet of perpendiculars on the internal angle bisector of \(\angle BAC\) from \(B,C\) respectively. Let \(P\) be the other point of intersection of the circumcircles of \(\triangle ADC\) and \(\triangle ABE\) apart from \(A.\) Find \(\angle PAB\) in degrees.

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