# 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 $$\angle AEB$$.

×