In a triangle $ABC$ with $\widehat{A}=80^{\circ}$ and $\widehat{B}=60^{\circ}$, the internal angle bisector of $\widehat{C}$ meets the side $AB$ at the point $D$. The parallel from $D$ to the side $AC$, meets the side $BC$ at the point $E$. Find the measure of the angle $\angle EAB$.