document.write( "Question 284065: An interior angle of a regular convex polygon measures 144 degress how many sides does the polygon have? \n" ); document.write( "

Algebra.Com's Answer #206147 by Earlsdon(6294) $\"\"$ $\"About$

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The measure of an interior angle (A) of a regular polygon of n sides is given by:
\n" ); document.write( " $\"A+=+%28n-2%29%2A180%2Fn\"$ To find n, substitute A = 144 and solve.
\n" ); document.write( " $\"144+=+%28%28n-2%29%2A180%29%2Fn\"$ Multiply both sides by n and simplify the right side.
\n" ); document.write( " $\"144n+=+180n-360\"$ Subtract 144n from both sides.
\n" ); document.write( " $\"0+=+36n-360\"$ Add 360 to both sides.
\n" ); document.write( " $\"360+=+36n\"$ Finally, divide both sides by 36.
\n" ); document.write( " $\"highlight%2810+=+n%29\"$
\n" ); document.write( "The regular polygon has 10 sides. \n" ); document.write( "

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