What is a linear pair of angles?

A linear pair of angles is formed when two angles share a common side and their non-common sides form a straight line. The sum of the two angles in a linear pair is always equal to 180 degrees. In other words, the two angles are supplementary angles.

For example, if angle A and angle B form a linear pair, then angle A + angle B = 180 degrees.

Linear pairs are commonly found in geometric shapes, such as lines, polygons, and triangles. They are important in geometry because they help in understanding the relationship between angles and can be used to solve for unknown angles in various geometric problems.