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It is so nice that you find a problem in the
sketch about "Constructing angle bisector". I want
to point out that computer is just a TOOL, like
a pair of compasses or a ruler. It could not replace
everything. You said that when the angle is greater
than 90 degrees, the angle bisector could not be
formed. This is a "conjecture". Did you test it? Is it true
for all cases? Why or why not the computer forms it?
All these give us chances to make conjectures, to
think, to investigate and to explain (or prove if
possible).
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