whenever you have a supplementary angle, you know that both of the angles in the supplementary angles will add up to 180 degrees. if that's what you meant
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supplementary can sure be a linear pair. As long as their is 2 different angles and they equal 180 degrees.
True
Yes. This is true because opposite angles are congruent and adjacent angles are supplementary.
it’s true
This is a parallelogram. The first requirement is 2 pairs of congruent sides where the congruent sides are not adjacent. This is like a rectangle (excluding a square) that has two pairs of congruent sides where the congruent sides are not adjacent. But the angles are not all congruent (as set in the question) which pushes the shape into the "next less regular" shape, the parallelogram. The angles will not all be congruent, but it will have 2 pairs of congruent angles. There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement).