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Mathematics 7 Online
OpenStudy (anonymous):

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

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

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

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

OpenStudy (welshfella):

yw

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