Angles and sides are congruent when they are identical. A shape with four identical sides and angles is a square.
a congruent shape HAS TO HAVE ALL CONGRUENT ANGLES OR IT WOULDNT BE A CONGRUENT sHAPE
It is a rhombus that fits the given description.
This is a parallelogram. The first requirement is 2 pairs of congruent sides where the congruent sides are not adjacent. This is like a rectangle (excluding a square) that has two pairs of congruent sides where the congruent sides are not adjacent. But the angles are not all congruent (as set in the question) which pushes the shape into the "next less regular" shape, the parallelogram. The angles will not all be congruent, but it will have 2 pairs of congruent angles. There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement).
A rhombus.
That is a mathematical impossibility. At least 2 angles have to be congruent in order for the shape to have 4 sides.
obtuse
a trapeziod
It is an isosceles trapezoid
Regular polygons have congruent angles such as squares and equilateral triangles.
an isosceles triangle
none exist.