Question

choose one linear pair of angles from the diagram below.*

Explanation:

A linear pair of angles is formed when two adjacent angles are supplementary (their sum is \(180^{\circ}\)). In the diagram, adjacent angles that form a straight line are linear pairs. For example, \(\angle1\) and \(\angle3\) are adjacent and form a straight line (along line \(m\) and the transversal). Similarly, \(\angle4\) and \(\angle6\) are adjacent and form a straight line (along line \(n\) and the transversal). Another example is \(\angle5\) and \(\angle8\) (adjacent along line \(m\) and the transversal) or \(\angle7\) and \(\angle2\) (adjacent along line \(r\) and line \(n\)).

Answer:

One possible linear pair is \(\angle1\) and \(\angle3\) (other valid pairs like \(\angle4\) and \(\angle6\), \(\angle5\) and \(\angle8\), \(\angle7\) and \(\angle2\) are also acceptable).