RMO 1998 Geometry

Geometry Level 4

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 \(\angle AEB\).

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