document.write( "Question 1052267: Three times the complement of an angle is twenty more than the supplement. Find the angles, the complement, and the supplement. \n" ); document.write( "
Algebra.Com's Answer #667773 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Three times the complement of an angle is twenty more than the supplement. \n" ); document.write( " Find the angles, the complement, and the supplement. \n" ); document.write( ": \n" ); document.write( "Let A = \"the angle\" \n" ); document.write( "the equation for the statement: \n" ); document.write( "\"Three times the complement of an angle is twenty more than the supplement.\" \n" ); document.write( "3(90-A) = (180-A) + 20 \n" ); document.write( "270 - 3a = 200 - A \n" ); document.write( "270 - 200 = -A + 3A \n" ); document.write( "70 = 2A \n" ); document.write( "A = 70/2 \n" ); document.write( "A = 35 degrees is the angle \n" ); document.write( "then \n" ); document.write( "90 - 35 = 55 degrees is it's complement \n" ); document.write( "and \n" ); document.write( "180 - 35 = 145 degrees is it's supplement \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this in the statement \n" ); document.write( "\"Three times the complement of an angle is twenty more than the supplement.\" \n" ); document.write( "3(55) = 145 + 20 \n" ); document.write( "165 = 165 \n" ); document.write( " |