Depends on the quadrilateral. Eg in a cyclic Quad, opposite angles are supplementary. Note that it is impossible that there would be only one pair of supp. angles as the internal angles total 360o
All supplementary angles do not form a linear pair. The opposite angles of any quadrilateral inscribed in a circle (a cyclic quadrilateral) are supplementary but they are not a linear pair. However, all linear pair are supplementary.
Yes, it is true that if all pairs of consecutive angles of a quadrilateral are supplementary, then the quadrilateral is a parallelogram. This is because the property of supplementary consecutive angles implies that each pair of opposite angles are equal, which is a defining characteristic of parallelograms. Thus, the quadrilateral satisfies the conditions necessary to be classified as a parallelogram.
A parallelogram.
Not necessarily. A linear pair of angles must be supplementary but supplementary angles need not form a linear pair. For example, the opposite angles of a cyclic quadrilateral are supplementary but they are (by definition) not next to one another.
Sometimes but not always depending on what type the 4 sided quadrilateral is.
All supplementary angles do not form a linear pair. The opposite angles of any quadrilateral inscribed in a circle (a cyclic quadrilateral) are supplementary but they are not a linear pair. However, all linear pair are supplementary.
No. A quadrilateral is a parallelogram when consecutiveangles are supplementary.
True
Supplementary
Then it's consecutive angles are supplementary.
True
True
How about a square or a rectangle
A parallelogram.
Any two angles whose measures add up to 180 degrees. For example, opposite angles of a cyclic quadrilateral (quadrilateral whose vertices are on a circle).
false
supplementary