Angle bisector

Geometry Level 4

\(ABCD\) is a convex quadrilateral with \( \angle ABD = 26 ^\circ, \angle ACD = 42 ^ \circ\). \(E\) is a point such that \( EA\) is the angle bisector of \( \angle BAC\) and \(ED\) is the angle bisector of \(\angle BDC\). What is the measure (in degrees) of \( \angle AED \)?

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