66. Exemplar Exercise Problems XXXVIII

In the figure \(AB\) and \(CD\) are two chords of a circle intersecting each other at point \(E\). Prove that \(∠AEC=\frac{1}{2}\) (Angle subtended by \(\text{arc CXA}\) at centre \(+\) angle subtended by \(\text{arc DYB}\) at the centre).