we know that the diagonals of a rhombus intersect to form right angles, so angle ACE is ----------> (90°-64°)-----------> 26° ACE is the angle bisector of ACD, this means that ACD is ---------> 26 x 2 = 52°
The diagonals are angle bisectors to the opposite corners so ACD = ACB = 52° and BCD = 52 x 2 = 104° For a rhombus, opposite angles are equivalent, so BAD = BCD = 104°