Understanding Linear Pairs | Adjacent Angles and Supplementary Properties Explained

If two angles form a linear pair, then they are supplementary.

When two angles form a linear pair, it means that they are adjacent angles, sharing a common side, and their non-common sides form a straight line

When two angles form a linear pair, it means that they are adjacent angles, sharing a common side, and their non-common sides form a straight line. In other words, the two angles are adjacent and add up to 180 degrees. Such angles are always supplementary.

To understand why linear pairs result in supplementary angles, let’s consider an example. Suppose we have two angles, angle A and angle B, forming a linear pair. Angle A might measure 60 degrees, and angle B could measure 120 degrees.

Since the two angles form a straight line, the sum of their measures should be 180 degrees. In this case, 60 degrees + 120 degrees equals 180 degrees. So, the angles in a linear pair are always supplementary, as their measures add up to 180 degrees.

It’s also important to note that if two angles are supplementary, it does not necessarily mean that they form a linear pair. Supplementary angles can be non-adjacent angles that add up to 180 degrees without sharing a common side.

In summary, if two angles form a linear pair, they are adjacent angles and will always be supplementary with their measures adding up to 180 degrees.

More Answers: