The question is self-contradictory.
There are instances that quadrilateral angles can be consecutive and opposite angles are congruent. The best examples are square and rectangle.
A square
If both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram.
showing consecutive angles are congruent
a parallelogram
There are instances that quadrilateral angles can be consecutive and opposite angles are congruent. The best examples are square and rectangle.
For the quadrilateral to be a parallelogram, both pairs of opposite angles must be congruent.
quadrilaterals are consecutive and opposite angles always congruent?
False. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.
Square and Rectangle
A square
If both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram.
no
Every parallelogram is.
its a shape
Yes
True