document.write( "Question 242810: The measure of angle A is three times the measure of angle B, and the measure of angle B is three times the measure for angle C. If angle A.and angle C.are complementary, find the measure of angle B. \n" ); document.write( "
Algebra.Com's Answer #177780 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! We are told several things needed for the setup for the solution. \n" ); document.write( "A = 3 times B \n" ); document.write( "A = 3B \n" ); document.write( "B = 3 times C \n" ); document.write( "B = 3C \n" ); document.write( "Therefore, A = 9C \n" ); document.write( "A + C = 90 degrees because they are complementary. \n" ); document.write( "Substituting for A = 9C \n" ); document.write( "9C + C = 90 \n" ); document.write( "10C = 90 \n" ); document.write( "Dividing by 10 \n" ); document.write( "C = 9 \n" ); document.write( "Substituting \n" ); document.write( "A = 9C = 9(9) = 81 \n" ); document.write( "But what is the question? \n" ); document.write( "What is B? \n" ); document.write( "B = 3C \n" ); document.write( "C = 9 \n" ); document.write( "B = 27 \n" ); document.write( "Checking our work. \n" ); document.write( "A = 3B = 3(27)?? \n" ); document.write( "Yes, 3*27 = 81= A. \n" ); document.write( " |