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Hagrid
The quadrilaterals whose consecutive and opposite angles are always congruent are the square and the rectangle. All of the angles of the square and the rectangle are 90 degrees. The consecutive angles of the parallelogram and the rhombus are not equal.
taskmasters
The correct options among all the options that are given in the question are option "A" and option "D". The rectangle and the square among the following quadrilaterals will have consecutive and opposite angles always congruent. The simple fact is that the angles that are present in rectangles and squares are all ninety degrees. 

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