document.write( "Question 236449: can you please help me? I don't know what to do\r
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\n" ); document.write( "measure of each exterior angle=?
\n" ); document.write( "measure of each interior angle-165\r
\n" ); document.write( "\n" ); document.write( "i know to find the interior angle you do 180(n-2)
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Algebra.Com's Answer #174035 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
For any n-gon (ie a polygon with 'n' sides), the sum of the interior angles can be found by \"S=180%28n-2%29\". Divide this sum by the number of sides 'n' to get \"%28180%28n-2%29%29%2Fn\" which is the measure of a single interior angle. \r
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\n" ); document.write( "\n" ); document.write( "Since the measure of each interior angle is 165 degrees, this means that \"%28180%28n-2%29%29%2Fn=165\" \r
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\n" ); document.write( "\n" ); document.write( "\"%28180%28n-2%29%29%2Fn=165\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"180%28n-2%29=165n\" Multiply both sides by 'n'.\r
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\n" ); document.write( "\n" ); document.write( "\"180n-360=165n\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"180n=165n%2B360\" Add \"360\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"180n-165n=360\" Subtract \"165n\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"15n=360\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"n=%28360%29%2F%2815%29\" Divide both sides by \"15\" to isolate \"n\".\r
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\n" ); document.write( "\n" ); document.write( "\"n=24\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So the polygon has 24 sides.
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