(I have a trigonometric solution. LookingLooking for a geometric solution.)
$ABCD$ is quadrilateral, where $|AB|=|AD|=|DC|$. $AED$ is a triangle, where $E$ is the midpoint of $BC$. $\angle DAB=84 ^{\circ}$ and $\angle CDA=72 ^{\circ}$. Determine the measure of $\angle AED$.
