definition
Linear pair: A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.
notes
Linear Pair:

A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.

The opposite rays (which are the noncommon sides of ∠ 1 and ∠ 2) form a line. Thus, ∠1 + ∠2 amounts to 180°.

The angles in a linear pair are supplementary.

A pair of supplementary angles form a linear pair when placed adjacent to each other.

Example, 40° + 140° = 180°
 If the noncommon arms BA and BC form a line then ∠ ABD and ∠ DBC are called linear pairs of angles.
Some more Examples,
Example
In the given figure, Identify three linear pairs.
Linear pairs are (∠AOE, ∠EOB), (∠AOC, ∠COB), (∠COB, ∠BOD).
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