An angle has only one bisector because it corresponds to a unique value of half the angle, meaning there cannot be multiple lines that equally divide the angle. The discussion highlights the importance of clarity in defining angles and their bisectors, suggesting that diagrams could aid understanding. It emphasizes that if an angle were to have more than one bisector, it would contradict the fundamental property of angle division. The analogy of halving a number illustrates that just as a specific number has one unique half, an angle similarly has only one bisector. Therefore, the properties of angles ensure that each angle is bisected uniquely.