document.write( "Question 252457: A regular polygon has an interior angle that measures 144 degrees, and a side of
\n" ); document.write( "which is 12 units long. What is the perimeter of the regular polygon? \n" ); document.write( "

Algebra.Com's Answer #184366 by Earlsdon(6294) $\"\"$ $\"About$

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First, you need to find the number of sides in the regular polygon.
\n" ); document.write( "You are given the measure of an interior angle (144 degrees) from which you can find the number of sides.
\n" ); document.write( "The interior angle (144 degrees in this case) of a regular polygon of n sides is given by:
\n" ); document.write( " $\"%28n-2%29%2A180%2Fn+=+144\"$
\n" ); document.write( " $\"%28n-2%29%2A180+=+144n\"$
\n" ); document.write( " $\"180n-360+=+144n\"$
\n" ); document.write( " $\"180n+=+144n%2B360\"$
\n" ); document.write( " $\"36n+=+360\"$
\n" ); document.write( " $\"highlight_green%28n+=+10%29\"$
\n" ); document.write( "The regular polygon has 10 sides and its perimeter (P) is:
\n" ); document.write( " $\"P+=+10%2812%29\"$
\n" ); document.write( " $\"highlight%28P+=+120%29\"$ units.\r
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