document.write( "Question 623107: In quadrilateral ABCD, the measure of angle a is twice the measure of angle b, the measure of angle b is twice that of angle c, and the measure of angle c is twice that of angle D. Find each angle measure. \n" ); document.write( "
Algebra.Com's Answer #391881 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! In any quadrilateral, the sum of the interior angles is 360 degrees, so angles \n" ); document.write( "a+b+c+d = 360 degrees. \n" ); document.write( "But a = 2b \n" ); document.write( "and b = 2c \n" ); document.write( "and c = 2d so... \n" ); document.write( "b = 4d and \n" ); document.write( "a = 8d so we have: \n" ); document.write( "8d+4d+2d+d = 360 \n" ); document.write( "15d = 360 and \n" ); document.write( "d = 24 degrees \n" ); document.write( "c = 2(24) = 48 degrees and \n" ); document.write( "b = 4(24) = 96 degrees and \n" ); document.write( "a = 8(24) = 192 degrees.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |