#### Answer

Both quadrilaterals are parallelograms.

#### Work Step by Step

Similar figures have congruent corresponding angles. Thus...
$m\angle A=m\angle H=70^{\circ}$
$m\angle K=70^{\circ}$
$m\angle B=m\angle J=110^{\circ}$
The interior angles of a quadrilateral will sum to $360^{\circ}$.
$360-70-70-110=110$
$m\angle L=110^{\circ}$
A quadrilateral with two sets of congruent opposite angles is a parallelogram. Therefore, quadrilateral HJKL is a parallelogram. Since both quadrilaterals are similar, quadrilateral ABCD is also a parallelogram.