document.write( "Question 242977: The interior angles of a polygon are in Arithmetic Progression. The smallest angle is 52 degrees and the common difference is 8 degrees. Find the number of sides of the polygon. \n" ); document.write( "

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The interior angles of a polygon are in Arithmetic Progression. The smallest angle is 52 degrees and the common difference is 8 degrees. Find the number of sides of the polygon.
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\n" ); document.write( "If the smallest interior angle is 52
\n" ); document.write( "its corresponding exterior angle is 180-52 = 128 degrees
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\n" ); document.write( "As the interior angles increase by 8 degrees
\n" ); document.write( "the corresponding exterior angles decrease by 8 degrees.
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\n" ); document.write( "Fact: The sum of the exterior angles is 360 degrees
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\n" ); document.write( "Equation:
\n" ); document.write( "128+ 128-8 + 128-2*8 = 360
\n" ); document.write( "There are 3 exterior angles
\n" ); document.write( "So the polygon has three sides.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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