document.write( "Question 243054: In a triangle, the measure of angle A is 116. The measure of angle B is 3 times the measure of angel C. Find the measure of angle B and measure of angle C. \n" ); document.write( "
Algebra.Com's Answer #178073 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! Since it's a triangle, we know the sum of A + B + C = 180. \n" ); document.write( "We're told \n" ); document.write( "A = 116 \n" ); document.write( "And we're told \n" ); document.write( "B = 3*C \n" ); document.write( "Substituting into the basic equation: \n" ); document.write( "116 + B + C = 180 \n" ); document.write( "116 + 3C + C = 180 \n" ); document.write( "116 + 4C = 180 \n" ); document.write( "4C = 64 \n" ); document.write( "C = 16 \n" ); document.write( "Looking back at what we're told: \n" ); document.write( "B = 3C = 3(16) = 48 \n" ); document.write( "Checking our work: \n" ); document.write( "Does A + B + C = 180? \n" ); document.write( "116 + 48 + 16 = 180? Yes it does! \n" ); document.write( " |