document.write( "Question 696102: In equilateral triangle DEF, measure of angle D=3x+y, measure of angle E= 2x+40, and measure of angle F= 2y. find x,y, measure of angle D and measure of angle F. \n" ); document.write( "
Algebra.Com's Answer #428796 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In equilateral triangle DEF, measure of angle D=3x+y, measure of angle E= 2x+40, and measure of angle F= 2y. find x,y, measure of angle D and measure of angle F. \n" ); document.write( "------ \n" ); document.write( "D = E \n" ); document.write( "3x+y = 2x+40 \n" ); document.write( "y = -x+40 \n" ); document.write( "------------------- \n" ); document.write( "D = F \n" ); document.write( "3x+y = 2y \n" ); document.write( "y = 3x \n" ); document.write( "---- \n" ); document.write( "Therefore: 3x = -x+40 \n" ); document.write( "4x = 40 \n" ); document.write( "x = 10 \n" ); document.write( "--- \n" ); document.write( "y = -x+40 \n" ); document.write( "y = -10+40 \n" ); document.write( "y = 30 \n" ); document.write( "------ \n" ); document.write( "D = 3x+y = 3*10 + 30 = 60 \n" ); document.write( "D = E = F = 60 degrees \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |