document.write( "Question 844237: The sum of the interior angles of a regular polygon is 30 right angles. How many sides it has? \n" ); document.write( "

Algebra.Com's Answer #508631 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
30 right angles is equal to 30 * 90 = 2700 degrees.
\n" ); document.write( "the sum of the angles of a regular polygon is given by the formula:
\n" ); document.write( "(n-2) * (180) = sum of the interior angles of a polygon.
\n" ); document.write( "this formula becomes:
\n" ); document.write( "(n-2) * 180 = 2700
\n" ); document.write( "divide both sides of this equation by 180 to get:
\n" ); document.write( "n-2 = 15
\n" ); document.write( "add 2 to both sides of this equation to get:
\n" ); document.write( "n = 17
\n" ); document.write( "the number of sides is equal to 17.
\n" ); document.write( "(17-2) * 180 = 15 * 180 = 2700.
\n" ); document.write( "this confirms the solution is good.
\n" ); document.write( " \n" ); document.write( "

\n" );