A hexagon with six 100° angles.
https://media.studyisland.com/pics/160497pic10.png
https://media.studyisland.com/pics/160497pic11.png
https://media.studyisland.com/pics/160497pic9.png
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (mathstudent55):
What is the question?
OpenStudy (anonymous):
which one is a hexa gon with six 100° angles
OpenStudy (mathstudent55):
Neither one.
OpenStudy (welshfella):
a hexagon must have a total angle count of 720 degrees
OpenStudy (anonymous):
@mathstudent55 wat about now
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
is the shape nonexistent
OpenStudy (anonymous):
???
OpenStudy (mathstudent55):
A convex polygon of n sides has a sum of angle measures of 180(n - 2).
In the case of a hexagon, with 6 sides, that is:
180(6 - 2) = 180 * 4 = 720
OpenStudy (mathstudent55):
Six 100-degree angles add up to 600 degrees, but it must have 720 deg, so it can't be.
OpenStudy (welshfella):
your last picture has 5 sides - its a pentagon
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (mathstudent55):
The green one is a pentagon, 5 sides.
180(5 - 3) = 180 * 3 = 540 deg
OpenStudy (mathstudent55):
There cannot be a hexagon with six 100-deg angles.
OpenStudy (anonymous):
so is the shape nonexistent
OpenStudy (welshfella):
yes
OpenStudy (anonymous):
thanks
Still Need Help?
Join the QuestionCove community and study together with friends!