## (Supplementary) Linear Pair

### A linear pair is a pair of adjacent angles formed when two lines intersect

A linear pair is a pair of adjacent angles formed when two lines intersect. These angles are called linear because they add up to form a straight line, which measures a total of 180 degrees.

To understand a linear pair, imagine two lines intersecting at a point. The two angles on one side of the point are then called a linear pair. They share a common vertex, which is the point where the lines intersect, and a common side, which is the line segment formed by the intersection of the lines.

A linear pair consists of two angles: one angle is called the “first angle” or “angle 1” and the other angle is called the “second angle” or “angle 2”. The measure of the first angle plus the measure of the second angle is always equal to 180 degrees.

In other words, if you have a linear pair with angle 1 measuring x degrees, the measure of angle 2 will be 180 degrees – x. They are called supplementary angles because their measures add up to 180 degrees, making them supplementary to each other.

For example, if angle 1 measures 60 degrees, then angle 2 will measure 180 degrees – 60 degrees = 120 degrees. These two angles together, 60 degrees + 120 degrees, form a linear pair because their measures add up to 180 degrees.

It is important to note that not all adjacent angles are linear pairs. Two angles are only a linear pair if their measures add up to 180 degrees.

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