Proving an angle has only one bisector

[highmath]

How can (1) I prove that there is only one bisector of a angle to only one specific angle
and
(2)There is only a specific angle with only one bisector of it.

 

[Greg]

I think your question needs clarification - perhaps a diagram? Can you be more specific? As it is, a line may bisect infinitely many angles, I believe.

 

[highmath]

What will happen if a angle has more than one bisector?
What will happen if some angles have more than one bisectors and other not?

What is the reason that angle has only one bisector?

 

[Greg]

What is the reason that angle has only one bisector?

An angle $\alpha$ has only one bisector because there is only one possible value for $\frac{\alpha}{2}$.

 

[MarkFL]

It seems to me to be similar to asking if, for any particular number, are there multiple values that are half of that number. For example, we know 6 is half of 12...can you think of another number that is half of 12?