Prove there is only one bisector of a angle to only one specific angle, and...

shahar

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

I am not sure about the difference between(1) and (2)

However, for (1) assume that it is not true - that is an angle can have two bisector lines (on the same side of the angle).

Then show that those two bisectors are same line - using properties of bisectors.
 
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