What is a linear pair?

A linear pair is a pair of adjacent angles formed by two intersecting lines. Here's a breakdown of their key characteristics:

  • Adjacent: The angles share a common vertex (corner point) and a common side. They are "next to" each other.

  • Supplementary: The sum of their measures is always 180 degrees. This is the defining characteristic of a linear pair.

  • Linear: They form a straight line. The two angles together create a straight angle (180°).

In short: If two angles are adjacent and their exterior sides form a straight line, they form a linear pair, and their measures add up to 180 degrees.