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Does the hexagon exist? (Posted on 2019-04-11) Difficulty: 2 of 5
Does there exist a hexagon whose 6 vertices lie on a circle, and whose internal angles in degrees are

70, 90, 110, 130, 150, 170

in some order?

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution Solution Comment 1 of 1
The angles add up to 720, so they will make a hexagon.  Call the angles in order ABCDEF.  To be a cyclic hexagon A+C+E=B+D+F=360.  There is no such subset of three angles with this required sum. 

So no such hexagon exists.

  Posted by Jer on 2019-04-11 15:43:08
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