A rhombus is a quadrilateral with all sides of equal length. A reflex angle is an angle greater than 180 degrees. A rhombus does not have a reflex angle because the sum of its interior angles is always 360 degrees, which means all its angles are less than 180 degrees.
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No, it cannot have a reflex angle. It has two acute angles and two obtuse.
As a special case, it can have four right angles - it is then a square.