SOLUTION: The exterior angle of a regular polygon is 24 degrees. Determine the sum of the interior angles.

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Question 1178469: The exterior angle of a regular polygon is 24 degrees. Determine the sum of the interior angles.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

The exterior angles of polygons add up to be , so you would divide by to get . So, you have -sided polygon
You then subtract from (a straight angle) to get as the measurement.
the sum of interior angles of any polygon:
just multiply the number of sides by measurement of the interior angle




where is the sum of all interior angles is the total number of sides of the polygon





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