All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
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    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
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
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information