Question

What is the difference between supplementary angles and a linear pair?

Answer 1

Linear pair is a pair of two supplementary angles. But two supplementary angles might or might not form a linear pair, they just have to "supplement" each other, that is their sum should be `180^o`.

Explanation:

There are four linear pairs formed by two intersecting lines.
Each pair form supplementary angles because their sum is `180^o`.

There might be two angles that sum up to `180^o`, but that do not form a linear pair. For example, two angles in a parallelogram that share a common side.