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?
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 |
Solution
