Geometry Question by Mithil Shah # 4

Geometry Level 3

Let $ABCD$ be a convex quadrilateral in which $\angle BAC = 50^\circ$ , $\angle CAD = 60^\circ$ , $\angle CBD = 30 ^\circ$ and $\angle BDC = 25^\circ$ . If $E$ is the point of intersection of $AC$ and $BD$ , find $\angle AEB$ .