No, unless they're all right angles. Otherwise it has two pairs of equal angles.
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A Rhombus has four equal sides but not (necessarily) four equal angles.
Rectangle
Yes, a parallelogram has four sides and four internal angles, the opposite side lengths are equal and the opposite angles are equal.
This is a parallelogram called a rectangle. A square has four right angles and four sides that are equal in length.
A square has four equal sides and four equal angles.