In geometry, a linear pair consists of two adjacent angles that sum up to 180 degrees and share a common vertex and arm. When we talk about three angles, the situation changes.
If you have three angles that together sum to 180 degrees, they do not form a linear pair. Instead, they can be thought of as forming a triangle. A linear pair requires only two angles, while three angles together do not fit the definition of adjacent angles sharing a common arm.
To illustrate, imagine three angles labeled A, B, and C. If angle A and angle B are adjacent and together equal 180 degrees, they form a linear pair. However, adding a third angle C to this set means you are considering angles A, B, and C in a different context altogether. These three angles can coexist, but they do not form the definition of linear pairs.