Question

which angle number represents the linear pair of ∠nsm?

Explanation:

Step1: Recall the definition of a linear pair

A linear pair of angles is a pair of adjacent angles whose non - common sides are opposite rays and whose sum is \(180^{\circ}\).

Step2: Identify the adjacent angle to \(\angle NSM\)

Looking at the diagram, \(\angle NSM\) and \(\angle 6\) are adjacent angles. Their non - common sides are parts of lines \(NP\) and \(LM\) (since \(LM\) is a straight line).

Answer:

\(\angle6\)