Before you understand What is a Linear Pair.
You must read and know  What are Adjacent Angles ?
Definition: A Linear Pair consists of a pair of supplementary Adjacent Angles i.e. sum of both the angles is equals to 180, thus forming a straight line and one common side.
Observe the following diagram of a Linear Pair
∠ x and ∠ y are two adjacent angles because:
Both are supplementary to each other i.e.
∠ y + ∠ x = 60° + 120° = 180°
Have one common side "op".
Hence, ∠ x and ∠ y forms a linear pair

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