Question 68
Let $ABCD$ be a quadrilateral with an inscribed circle centered at $I$. Let $CI$ intersect $AB$ at $E$. If $\angle IDE = 35^{\circ}$, $\angle ABC = 70^{\circ}$, and $\angle BCD = 60^{\circ}$, then what are all possible measures of $\angle CDA$?