SOLUTION: how many sides does a regular polygon have if each interior angle measures 172? How do I set this up?

SOLUTION: how many sides does a regular polygon have if each interior angle measures 172? How do I set this up?

Algebra.Com

Question 1017217: how many sides does a regular polygon have if each interior angle measures 172?
How do I set this up?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
If the interior angle is 172, the exterior angle is 8 degrees. Draw the polygon to get a sense of what the exterior angle is and how they all add up to 360 degrees. If you draw each exterior angle, you can see this.
All the exterior angles add to 360
360/8=45 sides.
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