document.write( "Question 1093136: A regular polygon has an interior angle of 144 degree, calculate the number of sides polygon has \n" ); document.write( "
Algebra.Com's Answer #707735 by ikleyn(52814)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For any convex polygon (in particularly, for any regular polygon) the sum of exterior angles is 360 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the number of sides = the number of vertices = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. Your polygon is decagon with 10 sides (vertices).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |