SOLUTION: 1) I am a regular polygon and my interior angles each measure 175 degrees. What polygon am I?

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Question 1059064: 1) I am a regular polygon and my interior angles each measure 175 degrees. What polygon am I?
Found 2 solutions by jorel555, Alan3354:
Answer by jorel555(1290)   (Show Source): You can put this solution on YOUR website!
The general rule for regular polygons as to their interior angles is ((n-2)x180)/n, where n stands for the number of sides of the polygon. So:
((n-2)x180)/n=175
180(n-2)=175n
180n-360=175n
5n=360
n=72
What I am is a 72-sided, regular polygon. ☺☺☺☺

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
I am a regular polygon and my interior angles each measure 175 degrees. What polygon am I?
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Ext angles = 180 - Int angles = 5 degs
360/5 = 72 sides

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