document.write( "Question 157554: How many sides does a polygon with an interior angle measure of 120 degrees have? \n" ); document.write( "

Algebra.Com's Answer #116120 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'm assuming that you mean a \"regular\" polygon!
\n" ); document.write( "The measure of an interior angle, A, of a regular polygon of N sides is given by:
\n" ); document.write( " $\"A+=+%28N-2%29180%2FN\"$ Substitute A = 120 degrees.
\n" ); document.write( " $\"120+=+%28N-2%29180%2FN\"$ Multiply both sides by N.
\n" ); document.write( " $\"120N+=+180N-360\"$ Subtract 120N from both sides.
\n" ); document.write( " $\"0+=+60N-360\"$ Add 360 to both sides.
\n" ); document.write( " $\"360+=+60N\"$ Finally, divide both sides by 60.
\n" ); document.write( " $\"N+=+6\"$
\n" ); document.write( "The regular polygon has 6 equal sides and is called a hexagon. \n" ); document.write( "

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