SOLUTION: a regular polygon has an interiaor angle of 170 degrees. how many sides does it have? is it 3?

Algebra ->  Polygons -> SOLUTION: a regular polygon has an interiaor angle of 170 degrees. how many sides does it have? is it 3?       Log On


   

Question 212711: a regular polygon has an interiaor angle of 170 degrees. how many sides does it have?
is it 3?
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
If the interior angle is 170 degrees, the exterior angle is 10 degrees.
---
The exterior angle of a regular polygon with n sides has a measure of 360/n degrees.
---
So, since the exterior angle of this polygon has measure 10 degrees, then it has 360/10=36 sides.