SOLUTION: In a regular polygon each interior angle is 140 degrees greater than each exterior angle. Calculate the number of sides of the polygon. How can i solve this?

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Question 745457: In a regular polygon each interior angle is 140 degrees greater than each exterior angle. Calculate the number of sides of the polygon. How can i solve this?
Answer by savvyhush23(50) About Me  (Show Source):
You can put this solution on YOUR website!
In a regular polygon each interior angle is 140 degrees greater than each exterior angle. Calculate the number of sides of the polygon. How can i solve this?
Let
i is the interior angle
e is the exterior angle
n is the number of sides
The formula:
i=180%28n-2%29%2Fn equation+1
e=360%2Fn equation+2
"...interior angle is 140 degrees greater than each exterior angle..."
i=e%2B140 equation+3
Substitute equation 1 and 2 to equation 3
180%28n-2%29%2Fn=360%2Fn%2B140
720=40n
n=18