SOLUTION: The exterior angle of a regular polygon is 100 degrees less than the interior angle. What is the number of sides of the polygon?

Algebra ->  Algebra  -> Polygons -> SOLUTION: The exterior angle of a regular polygon is 100 degrees less than the interior angle. What is the number of sides of the polygon?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 379552: The exterior angle of a regular polygon is 100 degrees less than the interior angle. What is the number of sides of the polygon?
Answer by Alan3354(30993) About Me  (Show Source):
You can put this solution on YOUR website!
The exterior angle of a regular polygon is 100 degrees less than the interior angle. What is the number of sides of the polygon?
----------
The interior and exterior add to 180, so the exterior = 40º.
360/40 = 9 sides