True.

An angle has only one unique angle bisector. The angle bisector is a line or ray that divides the angle into two equal parts, and there is only one way to do this for any given angle.

Would you like a detailed explanation, or do you have any questions?

Here are 5 related questions to explore:

1. What is an angle bisector in geometry?
2. How do you construct the bisector of an angle using a compass?
3. Can a right angle have more than one bisector?
4. What is the significance of an angle bisector in triangles?
5. How do you find the equation of an angle bisector in a coordinate plane?

Tip: When constructing an angle bisector, ensure both halves of the divided angle are exactly equal to ensure accuracy.