What is a linear pair in geometry?

In geometry, a linear pair is formed when two adjacent angles have a common side and their non-common sides form a straight line. This means that the two angles together add up to 180 degrees.

For example, if angle A and angle B are adjacent angles with a common side but their non-common sides form a straight line, then angle A + angle B = 180 degrees, making them a linear pair.

Linear pairs are important in geometry as they help to solve for unknown angles in various geometric figures and can be used to prove theorems in mathematics. Additionally, linear pairs are often found in parallel lines cut by a transversal, where corresponding angles are congruent.