
#1
October 5th, 2018,
16:45
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.

October 5th, 2018 16:45
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Perseverance
#2
October 6th, 2018,
10:11
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.

#3
October 7th, 2018,
12:27
Thread Author
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?

Perseverance
#4
October 7th, 2018,
13:20
Originally Posted by
highmath
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 $\frac{\alpha}{2}$.

Pessimist Singularitarian
#5
October 7th, 2018,
13:45
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?