document.write( "Question 709179: . Find the number of sides of a regular polygon if each interior angle measures 162°. The number of sides is: \r
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document.write( "A. 20
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document.write( "B. 16
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document.write( "C. 24
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document.write( "D. 18
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Algebra.Com's Answer #436410 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! (n-2)*180, how many degrees for sum of measures of the interior angles. \n" ); document.write( "(n-2)*180/n, how may degrees in one interior angle because the polygon has n angles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "Find n.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "180 and 162 are divisible by 18. \n" ); document.write( "This then is equivalent: \n" ); document.write( "(n-2)10=9n \n" ); document.write( "10n-20=9n \n" ); document.write( "n=20 \n" ); document.write( " |