Find the sum of the measures of the interior angles of a convex 30-gon.
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OpenStudy (cwrw238):
there is a formula to find this directly but i can never remember it for some reason. I do these by using the fact that the sum of the exterior angles of all polygons add up to 360 degrres.
OpenStudy (cwrw238):
so for a convex regular 30 sided polygon each exterior angle = 360/30 = 12 degrees
so each interior angle = 180-12 = 168 degrees
OpenStudy (alexandervonhumboldt2):
180*(30-2)
OpenStudy (alexandervonhumboldt2):
180*28
OpenStudy (alexandervonhumboldt2):
now count
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OpenStudy (cwrw238):
so multiply this by 30 and you have your answer
OpenStudy (alexandervonhumboldt2):
180*(n-2) wjere n is number of sides
OpenStudy (alexandervonhumboldt2):
wait nononono
OpenStudy (alexandervonhumboldt2):
imagine this is less that sumof angle of triangle@@!!!!
OpenStudy (cwrw238):
yes - both methods give the same answer
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OpenStudy (alexandervonhumboldt2):
180*(n-2) I know this!!!!!!! where n is now in this situation is 30
OpenStudy (cwrw238):
why do the posts sometimes come out in the wrong order!!???
OpenStudy (cwrw238):
my last 2 did just that!!
OpenStudy (alexandervonhumboldt2):
i dont know yeah i noticed that tool ooks like we are crazy
OpenStudy (anonymous):
The posts are a little mixed up. Is 168 the final answer?