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) About Me  (Show Source):
You can put this solution on YOUR website!

The exterior angles of polygons add up to be 360, so you would divide 360 by 24 to get 15. So, you have 15-sided polygon
You then subtract 24 from 180 (a straight angle) to get 156+as the interior+angle measurement.
the sum of interior angles of any polygon:
just multiply the number of sides by measurement of the interior angle

A+=+15%2A156
A+=+2340

A+=+%28n-2%29%2A180 where A+is the sum of all interior angles n is the total number of sides of the polygon
A+=+%2815-2%29%2A180
A+=+13%2A180
A+=2340