document.write( "Question 258119: If each angle of a regular polygon has measure 160, how many sides does the polygon have? \n" ); document.write( "

Algebra.Com's Answer #190052 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'm assuming that you intended to write \"...each \"interior\" angle of a...\"
\n" ); document.write( "The measure of an interior angle (A) of a regular polygon of n sides is given by:
\n" ); document.write( " $\"A+=+%28n-2%29%2A180%2Fn\"$ Substitute A = 160.
\n" ); document.write( " $\"160+=+%28n-2%29%2A180%2Fn\"$ Solve for n.
\n" ); document.write( " $\"160%2An+=+180%2An-360\"$
\n" ); document.write( " $\"20n+=+360\"$
\n" ); document.write( " $\"n+=+18\"$
\n" ); document.write( "The regular polygon has 18 sides. \n" ); document.write( "

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