SOLUTION: Find the number of sides of an equiangular polygon if each interior angle is 170

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Question 397515: Find the number of sides of an equiangular polygon if each interior angle is 170
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(16868) About Me  (Show Source):
You can put this solution on YOUR website!


The measure of an interior angle of a regular n-gon is given by:



So, set that expression equal to your interior measure and solve for n.



John

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Answer by Alan3354(30937) About Me  (Show Source):
You can put this solution on YOUR website!
Each exterior angle is 10º (180 - 170)
The sum of exterior angles of ALL polygons is 360.
360/10 = 36 sides