document.write( "Question 1075745: The interior angle of a polygon is 100 . The other interior angles are all equal to 110 . How many sides has the polygon ? \n" ); document.write( "
Algebra.Com's Answer #690377 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The interior angle of a polygon is 100 . The other interior angles are all equal to 110 . How many sides has the polygon ? \n" ); document.write( "-------- \n" ); document.write( "The sum of the exterior angles is 360 degrees. \n" ); document.write( "The 100 degree interior angle has an exterior of 80 degree \n" ); document.write( "Each of the 110 degree interior angles has an exterior of 70 degrees \n" ); document.write( "------- \n" ); document.write( "Let \"n\" be the number of sides, then there are n exterior angles. \n" ); document.write( "---- \n" ); document.write( "Exterior Angle Equation:: \n" ); document.write( "80 + (n-1)70 = 360 degrees \n" ); document.write( "70(n-1) = 280 \n" ); document.write( "n-1 = 4 \n" ); document.write( "n = 5 (# of sides) \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |