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Mathematics 18 Online
OpenStudy (anonymous):

3. What is the value of x in the regular polygon below?

OpenStudy (anonymous):

OpenStudy (anonymous):

options are 40, 120, 60, and 150

jimthompson5910 (jim_thompson5910):

This is a hexagon, so the measure of each interior angle is 180(6-2)/6 = 120 degrees. So solve 3x = 120 for x to get your answer.

OpenStudy (anonymous):

so its 40

jimthompson5910 (jim_thompson5910):

yep

OpenStudy (anonymous):

ah! thank you so would that mean the exterior is 60?

jimthompson5910 (jim_thompson5910):

exterior = 180 - interior exterior = 180 - 120 exterior = 60 so yes

OpenStudy (anonymous):

Thank you soo much!

jimthompson5910 (jim_thompson5910):

or... exterior = 360/n exterior = 360/6 exterior = 60

OpenStudy (anonymous):

So applying that to an octogon the exterior would be 45 right?

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