# Polygon questions? Math/ Geo. =[ help?

I did:

1800=(n-2)180

1800=180n-360

2160=180n

12=n

^ is that correct?

and

each interior angle of a regular polygon measures 140 degrees. How many sides does the polygon have? Ex. ur answer.

i tried doing the same thing (equation) as the previous question but i got a decimal??

Favorite Answer

the total degree of all exterior angles of a regular polygon is always 360. if the interior angle is 140, then its exterior must be 40. so 360/40=9 sides.

to find how many sides if you have 1 known interior angle. you use, 360/(180-x), where x is the degree of the given interior angle.

the 1st one looks correct. doubt check it, 12 sides, 1800/12=150 degree. that means each interior angle is 150. and if the interior angle is 150, the exterior must be 30. 360/30=12 sides. so its correct

140n=(n-2)180

N=9.

answer is 9 sides.

u cant use same equation. is not asking the same thing.

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