Grade 9-11 only

Let $ABC$ be an acute-angled triangle with incircle $\omega$ and incenter $I$ . Let $\omega$ touch $AB, BC$ and $CA$ at points $D, E, F$ respectively. The circles ${\omega}_1$ and ${\omega}_2$ centered at $J_1$ and $J_2$ respectively are inscribed into $ADIF$ and $BDIE$ . Let $J_1J_2$ intersect $AB$ at point $M$ . Let $CD$ intersects $IM$ in $X$ .

Find $\angle IXD$ in degrees.