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If you want to know if they're congruent, its usually a square and a rectangle

Q: Which quadrilaterals are consecutive angles always?

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All quadrilaterals have consecutive and opposite angles.

There are instances that quadrilateral angles can be consecutive and opposite angles are congruent. The best examples are square and rectangle.

Rectangles, of which squares are a special case.

Only in squares and rectangles. In a rhombus, the consecutive angle is supplementary (sums to 180 degrees).

Which quadrilateral or quadrilaterals cannot have two consecutive angles of 90° each

Related questions

quadrilaterals are consecutive and opposite angles always congruent?

Square and Rectangle

All quadrilaterals have consecutive and opposite angles.

rectangle and square

There are instances that quadrilateral angles can be consecutive and opposite angles are congruent. The best examples are square and rectangle.

Square and Rectangle Apex

All rectangles (this includes squares).

Rectangles, of which squares are a special case.

Only in squares and rectangles. In a rhombus, the consecutive angle is supplementary (sums to 180 degrees).

Square and Rectangle

Which quadrilateral or quadrilaterals cannot have two consecutive angles of 90° each

A trapezoid.