The defining trait of this special type of trapezoid is that the two non-parallel sides (XW and YZ below) are congruent.
The base angles of an isosceles trapezoid are congruent.
Angle $$ \angle ADC = 44° $$ since base angles are congruent
Single $$ \angle ADC = 4° $$ since base angles are congruent
J = 5
Diagonals of Isosceles Trapezoid
X = 9