# 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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