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April 18th, 2013, 08:24 PM  #1 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Sum of three angles
Hi members of MMF, My father almost had to force me this week to let me do geometry. I never liked it much, however, it's quite a fun to do them as I reckon slowly. I already had a whole reading of the geometry book by now, and after that, I asked my father that how much tight upper bounds can we get for the sum of three angles of a triangle without getting introduced to the parallels? I haven't seriously tried it yet, but a bound of 270 degrees is obvious since the sum of two angles of a triangle must be smaller than 180 degrees. Just write down the best bound you can find but not the method, Balarka . 
April 19th, 2013, 12:09 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 17,172 Thanks: 1285 
How about the 270° you've already mentioned?

April 19th, 2013, 09:42 AM  #3  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Sum of three angles Quote:
 

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