document.write( "Question 1152296: If the measure of each interior angle of a regular polygon is 176, find the number of sides in the polygon. \n" ); document.write( "

Algebra.Com's Answer #774287 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Let $\"n\"$ be the number of sides of a regular polygon whose interior angles are each $\"176\"$ °. \r
\n" ); document.write( "\n" ); document.write( "Then \r
\n" ); document.write( "\n" ); document.write( " $\"Exterior_+angle+=+360%2Fn\"$ ° where $\"n\"$ is the number of sides
\n" ); document.write( "so:\r
\n" ); document.write( "\n" ); document.write( " $\"Interior+_Angle+=+180+360%2Fn\"$ ° ....substitute interior angle $\"176\"$ °\r
\n" ); document.write( "\n" ); document.write( " $\"176+=+180-+360%2Fn\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"176+=+%28180n-+360%29%2Fn\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"176n+=+180n-+360\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+360=+180n-176n+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+360=+4n+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+360%2F4=+n+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n=90\"$ \r
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