document.write( "Question 983960: - find the number of sides in a polygon whose interior angles are in arithmetical progression. the smallest being 120° and the common difference 5 ° \n" ); document.write( "
Algebra.Com's Answer #604892 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! I worked this one. \n" ); document.write( "------------ \n" ); document.write( "The other tutor gave answers of 9 and 16. \n" ); document.write( "Both satisfy the equation, but 16 sides gives one angle that is 180 degs, then some that are greater than 180. \n" ); document.write( "An angle of 180 doesn't count as an angle. \n" ); document.write( "========================== \n" ); document.write( "--> only the 9 sides solution works. \n" ); document.write( "120 + 125 + 130 + 135 + 140 + 145 + 150 + 155 + 160 = 1260 --> 9 sides \n" ); document.write( "============== \n" ); document.write( "for 16 sides, \n" ); document.write( "+ 165 + 170 + 175 + 180 ... That's NG. \n" ); document.write( " |