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 #774285 by Theo(13342)\"\" \"About 
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each exterior angle in a regular polygon is equal to 180 minus the interior angle.
\n" ); document.write( "that makes the exterior angle equal to 180 - 176 = 4 degrees.
\n" ); document.write( "the number of sides in the regular polygon is equal to 360 divided by the number of degrees in the exterior angle.
\n" ); document.write( "that makes the number of side equal to 360 / 4 = 90.\r
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\n" ); document.write( "\n" ); document.write( "the formula based on the interior angle is:
\n" ); document.write( "i = 180 * (n - 2) / n
\n" ); document.write( "i is the measure of the interior angle
\n" ); document.write( "n is the number of sides.
\n" ); document.write( "the formula becomes:
\n" ); document.write( "176 = 180 * (n - 2) / n
\n" ); document.write( "multiply both sides by n and simplify to get:
\n" ); document.write( "176 * n = 180 * n - 360
\n" ); document.write( "add 360 to both sides of this equation and subtract 176 * n from both sides of this equation to get:
\n" ); document.write( "360 = 180 * n - 176 * n
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "360 = 4 * n
\n" ); document.write( "solve for n to get n = 360 / 4 = 90\r
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\n" ); document.write( "\n" ); document.write( "your solution is that the number of side of the regular polygon is 90.\r
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