A linear pair of angles is defined as a pair of adjacent angles that are formed when two lines intersect. These angles are situated on the same side of the transversal and share a common vertex and side. In simpler terms, when two lines cross each other, they create two angles next to each other that add up to 180 degrees.
To visualize this concept, imagine two lines intersecting at a point. The angles formed at this intersection can be labeled as Angle 1 and Angle 2. If Angle 1 measures 70 degrees, Angle 2 will automatically measure 110 degrees since 70 + 110 = 180, thus satisfying the definition of a linear pair.
It’s important to note that linear pairs are always supplementary, meaning their measures always add up to 180 degrees. Additionally, the adjacent nature of these angles is crucial; if the angles were not next to each other, they would not be classified as a linear pair. This concept is fundamental in geometry and is especially useful in solving various problems related to angles and lines.