Question

what is the relationship between \\( \angle m \\) and \\( \angle n \\)?

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\).

Step2: Analyze the position of \(\angle m\) and \(\angle n\)

From the figure, \(\angle m\) and \(\angle n\) are adjacent angles that form a linear - pair (they are adjacent and their non - common sides are opposite rays).
By the linear - pair postulate, if two angles form a linear pair, then they are supplementary.

Answer:

\(\angle m\) and \(\angle n\) are supplementary angles.