document.write( "Question 1183863: One angle of a triangle is twice as large as another. The measure of the third angle is 84 degrees more than that of the smallest angle. Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #814353 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! One angle of a triangle ABC is twice as large as another. \n" ); document.write( "A = 2B \n" ); document.write( " The measure of the third angle is 84 degrees more than that of the smallest angle. \n" ); document.write( "C = B + 84 \n" ); document.write( ": \n" ); document.write( "Find the measure of each angle. \n" ); document.write( "A + B + C = 180 \n" ); document.write( "Replace A with 2B and replace C with (B+84) \n" ); document.write( "2B + B + (B+84) = 180 \n" ); document.write( "4B = 180 - 84 \n" ); document.write( "4B = 96 \n" ); document.write( "B = 96/4 \n" ); document.write( "B = 24 \n" ); document.write( "Then \n" ); document.write( "A = 2(24) = 48 deg \n" ); document.write( "C = 24 + 84 = 108 deg \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: 48 + 24 + 108 = 180\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |