It is a parallelogram.
They will be acute angles.
There can be 10 obtuse angles. If there are no reflex angles there can by up to three acute angles (I think).
No shape does. If it has 4 sides and one pair of parallel lines it cannot have only 1 right angle, it must either have: 1) 2 right angles, 1 acute acute and 1 obtuse angle; or 2) no right angles, 2 acute angles and 2 obtuse angles; in which case it would be a trapezium (trapezoid).
Angles are usually illustrated as two acute and two obtuse, but there can be two right, one acute and one obtuse. Angles cannot be parallel since that is a characteristic of lines, not angles!
A rhombus (pushed over square) will give you 2 pairs of parallel, congruent sides, 2 acute angles and 2 obtuse angles.
A rhombus - or parallelogram.
A triangle having all angles less than 90 degrees is a polygon having no parallel sides and all acute angles.