Construct point E such that AE = DE. How can that be done? If AE = DE = AD then triangle ADE is equilateral . . .

Draw CE.

Fill in known values of angles and segment lengths.

There are many solutions. Most of them will utilize and auxiliary consgtruction of an equilateral triangle somewhere.

Alternatively, consider CONSTRUCTING point E and its connecting lines by reflection in CD.   What easier information is immediately available?