What is angle addition postulate?

The angle addition postulate states that if we have two adjacent angles, the measure of the larger angle is equal to the sum of the measures of the two smaller angles. In other words, if we have angle ABC and angle CBD that share a common side BC, then the measure of angle ABC + the measure of angle CBD = the measure of angle ABD.

This postulate is important in geometry as it allows us to determine the measures of angles in various geometric figures and to solve problems involving angles. It is also used in proofs and constructions to establish relationships between angles in a given figure.

The angle addition postulate is a fundamental concept in geometry and is one of the basic properties of angles that helps us understand and work with angles in different geometric contexts.