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Can a pair of angles be supplementary and congruent?
No, a pair of angles that are supplementary will always have a sum of 180 degrees, while a pair of angles that are congruent will have the same measure. Therefore, it is not possible for a pair of angles to be both supplementary and congruent.
Are supplementary angles necessarily a linear pair?
No. All linear pair angles are supplementary, but supplementary angles do not have to be a linear pair.
Do all supplementary angles from a linear pair Are all linear pair supplementary?
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.
Supplementary angles form a linear pair?
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.
If two angles are a linear pair of angles then they are what?
These will be supplementary angles.
