What is the angle addition postulate?

The angle addition postulate states that the measure of the angle formed by two adjacent angles is equal to the sum of the measures of the two individual angles. In geometric terms, if angle AOC is formed by two adjacent angles, angle AOB and angle BOC, then the measure of angle AOC is equal to the sum of the measures of angle AOB and angle BOC.

Mathematically, this can be written as: m∠AOC = m∠AOB + m∠BOC

This postulate is commonly used in geometry to prove theorems and solve problems related to angles and angle measures. It provides a fundamental rule for understanding how angles behave and interact with each other in geometric figures.

Overall, the angle addition postulate helps clarify relationships between angles and provides a basis for further exploration and study in geometry.