what is a linear pair

A linear pair is a pair of adjacent angles that are formed when two lines intersect each other at a single point. The angles in a linear pair are always supplementary, meaning that they add up to $180^\circ$. In other words, the two angles together form a straight line or a straight angle. The properties of a linear pair of angles include being adjacent, forming a straight line, and having a common vertex and a common arm. The linear pair postulate states that if two angles form a linear pair, they are supplementary. This concept is fundamental in geometry and is used to solve problems related to angles and lines.