# 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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