If two angles are supplementary, then they are a linear pair of angles. Is this true or false?

1 Answer
Dec 6, 2015

Not necessarily true.
True, if they are adjacent and share a vertex and one side. See the first picture below.
They might not form a linear pair, like in a parallelogram.
See the second picture.

Explanation:

Supplementary angles in a linear pairSupplementary angles in a linear pair
Linear pair forms two supplementary angles.

Supplementary angles that do not form linear pairSupplementary angles that do not form linear pair
Supplementary angles a and b do not form linear pair.