document.write( "Question 502196: how can i solve this question because all i get is decimals when i try:
\n" ); document.write( "a regular polygon has an exterior angle with a measure of 20 degrees. find the numbers of sides \n" ); document.write( "

Algebra.Com's Answer #338803 by Earlsdon(6294) $\"\"$ $\"About$

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In a regular polygon of n sides, the measure of an internal angle is given by:
\n" ); document.write( " $\"%28n-2%29180%2Fn\"$
\n" ); document.write( "An internal angle and the corresponding external angle are complementary so that if the external angle is 20 degrees then the corresponding internal angle is 180-20 = 160 degrees.
\n" ); document.write( " $\"%28n-2%29180%2Fn+=+160\"$ Solve for n.
\n" ); document.write( " $\"%28n-2%29180+=+160n\"$
\n" ); document.write( " $\"180n-360+=+160n\"$ Subtract 160n from both sides.
\n" ); document.write( " $\"20n-360+=+0\"$ Add 360 to both sides.
\n" ); document.write( " $\"20n+=+360\"$ Divide by 20.
\n" ); document.write( " $\"n+=+18\"$
\n" ); document.write( "The regular polygon has 18 sides. \n" ); document.write( "

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