All linear pair of angles are supplementary but all supplementary angles need not necessarily form a linear pair.
True
A pair of adjacent angles which sum up to 180∘ form a linear pair.
So, to form a linear pair, the following conditions have to be satisfied:
However, any pair of supplementary angles need not necessarily be an adjacent pair of angles.
For example, the angles shown in the figure are supplementary but do not form an adjacent pair.
Hence they are not linear pair as well.