document.write( "Question 1090856: The interior angles of a polygon are in the ratio 1:2:3:4:5. Find the degree measure of the second largest angle. \n" ); document.write( "

Algebra.Com's Answer #705308 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The angle measures are x, 2x, 3x, 4x, and 5x degrees.\r\n" );
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document.write( "Their sum is x + 2x + 3x + 4x + 5x = 15x, and it is equal to (5-2)*180°,\r\n" );
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document.write( "since (5-2)*180° is the sum of interior angles of your pentagon.\r\n" );
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document.write( "     (It is a pentagon, isn't it ?)\r\n" );
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document.write( "So, your equation is  15x = 540°  with the solution  x =  = 36°.\r\n" );
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document.write( "Thus the angles are  36°,  72°,  108°,  144°  and  180°.\r\n" );
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document.write( "Having this, can you answer the problem's question ?\r\n" );
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