Final answer:
Statements II (ABCD is a square) and III (m°A > m°D) are contradictory because all angles in a square are equal, making it impossible for one angle to be greater than another.
Step-by-step explanation:
The contradiction in the statements provided lies between the second and third statements. A square is a type of quadrilateral with all four sides of equal length and all angles of equal measure. If ABCD is a square (Statement II), then the measures of all interior angles are 90 degrees.
Therefore, angle A can't be greater than angle D (Statement III) as all angles in a square are equal. Hence, II and III are the statements that contradict each other. Meanwhile, a quadrilateral (Statement I) is a more general term that includes many shapes, including squares, so Statements I and II do not contradict each other, nor do Statements I and III.