Geometry Question by Mithil Shah # 4

Geometry Level 2

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 \(\angle AEB\).