document.write( "Question 985335: Three of the exterior angles of an n-sided polygon are 15, 25, 70, and the remaining exterior angles are 50 each. Find the value of n. \n" ); document.write( "

Algebra.Com's Answer #606140 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "The exterior angles of any polygon have sum 360°.\r\n" );
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document.write( "3 of them are 15°, 25° and 70° and the other (n-3) exterior angles are \r\n" );
document.write( "50° each.\r\n" );
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document.write( "Sum of exterior angles = 15°+25°+70°+(n-3)*50° = 360°\r\n" );
document.write( "                                110°+(n-3)*50° = 360°\r\n" );
document.write( "                                     (n-3)*50° = 250°\r\n" );
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document.write( "                                           n-3 = 5\r\n" );
document.write( "                                             n = 8  \r\n" );
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document.write( "So the polygon has 8 sides.\r\n" );
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document.write( "Edwin

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