document.write( "Question 569498: Hi,
\n" ); document.write( "1. suppose that the sum of the measures of the vertex angles of a polygon is 1620 degrees. How many sides does the polygon have?\r
\n" ); document.write( "\n" ); document.write( "what I've tried:\r
\n" ); document.write( "\n" ); document.write( "(n-2)180/n= i multiplied \"n\" by both sides to cancel out the fraction and then use distribution property to fix the equation.\r
\n" ); document.write( "\n" ); document.write( "180n - 360= 1620n
\n" ); document.write( "-180n 180n
\n" ); document.write( " -360= 1440n
\n" ); document.write( " -0.25=n
\n" ); document.write( "but that is the wrong answer. the book says that the answer of sides is 11.\r
\n" ); document.write( "\n" ); document.write( "Please help me.
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Algebra.Com's Answer #367357 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
I know your frustration. It's hard to figure out one's own mistake, and it is obvious that a polygon could not have -0.25 sides.
\n" ); document.write( " \"%28n-2%29180%2Fn\" would be the measure of one angle in a regular n-sided polygon. That's probably what you were thinking of, but the problem refers to the sum of the measures of the angles.
\n" ); document.write( "The sum of the measures of the vertex angles of an n-sided polygon is \"%28n-2%29180\".
\n" ); document.write( "If \"%28n-2%29180=1620\" --> \"n-2=1620%2F180\" --> \"n-2=9\" --> \"n=9%2B2\" --> \"highlight%28n=11%29\"
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