What Is the Linear Pair Postulate?

linear-pair-postulate Credit: pmlbird/CC-BY 2.0

The linear pair postulate is a mathematical concept used in conceptual geometry and engineering. It describes the relationship between two angles that form a linear pair, particularly when their values are added together, according to the Geometry Center at the University of Minnesota.

Two angles are considered a linear pair if they are adjacent and formed by two intersecting lines. The linear pair postulate states that the summation of any two such angles will always be 180 degrees, or pi radians. The specific sizes and values of the two angles do not matter -- as long as the requirements of the postulate are true, the angles will sum to form a perfect half-circle.