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Mathematics 14 Online
OpenStudy (anonymous):

You need to construct a regular polygon. When you draw two sides, the interior angle created between them is 120°, illustrated below. What will be the sum, in degrees, of the measures of the interior angles of this polygon when it is completed?

OpenStudy (anonymous):

OpenStudy (pfenn1):

The sum of the interior angles of any convex n-gon (polygon with n sides) is given by (n-2)*180.

OpenStudy (anonymous):

so its 1080° ?1

OpenStudy (pfenn1):

Sorry, I just realized what I wrote, while true probably wasn't all that helpful....How many sides would your polygon have if the internal angle of all the corners was 120 degrees?

OpenStudy (pfenn1):

Hint: A regular hexagon has internal angles of 120 degrees. So if you use the formula I gave you above, what would the sum be?

OpenStudy (anonymous):

380? ????

OpenStudy (pfenn1):

no. How many sides does a hexagon have?

OpenStudy (anonymous):

6

OpenStudy (pfenn1):

so the sum of angles =(n-2)*180 where n is the number sides or =4(180)

OpenStudy (anonymous):

would that be 720?

OpenStudy (anonymous):

which one is right?

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