Question

review the diagram.
\\(\overline{ab}\\) and \\(\overline{cd}\\) are parallel.
\\(\overline{ab}\\) and \\(\overline{cd}\\) are intersected by line t.
select the angle pair which are linear angles.

Explanation:

Step1: Recall linear - angle definition

Supplementary angle pairs are linear angle pairs whose sum is 180°. In the given diagram, adjacent angles formed by the intersection of a line (transversal \(t\)) with a straight - line (either \(\overline{AB}\) or \(\overline{CD}\)) are linear angles.
For example, \(\angle1\) and \(\angle2\) are adjacent angles and form a linear pair since they are adjacent and their non - common sides form a straight line. Also, \(\angle3\) and \(\angle4\), \(\angle5\) and \(\angle6\), \(\angle7\) and \(\angle8\) are linear angle pairs.

Answer:

\(\angle1\) and \(\angle2\), \(\angle3\) and \(\angle4\), \(\angle5\) and \(\angle6\), \(\angle7\) and \(\angle8\)