Dışbükey (konveks) $ABCD$ dörtgeninde $|DA|=|AB|=2$, $m(\widehat{A})=108^\circ $, $m(\widehat{C})=126^\circ $ ise $|AC|$ kaçtır?
$\textbf{a)}\ 2 \qquad\textbf{b)}\ 3 \qquad\textbf{c)}\ \dfrac{3\sqrt{3}}{2} \qquad\textbf{d)}\ \dfrac{1+ \sqrt{2}}{2} \qquad\textbf{e)}\ \dfrac{3\sqrt{5}}{4} $