yes sorry for the late reply. I didnt notice this thread had got replies. This was a question I asked last year!
thanks for the replies! I did it by a slightly different manner. Without loss of generality, let . Use cosine rule to prove that the angle between segments and is at least .
But no one had seemed to notice that a counter example exists when all three complex numbers are 0. They have to be distinct.
Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm
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yes sorry for the late reply. I didnt notice this thread had got replies. This was a question I asked last year!
. Use cosine rule to prove that the angle between segments 
and 
is at least 
. 
