document.write( "Question 229359: the measure of angle B, the supplement of angle A, is 4 times the measure of angle C, the complement of angle A \n" ); document.write( "
Algebra.Com's Answer #170082 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! B=4C \n" ); document.write( "A+C=90 \n" ); document.write( "A=90-C \n" ); document.write( "A+B+C=180 \n" ); document.write( "(90-C)+4C=180 \n" ); document.write( "90-C+4C+C=180 \n" ); document.write( "4C=180-90 \n" ); document.write( "4C=90 \n" ); document.write( "C=90/4 \n" ); document.write( "C=22.50 DEGREES. \n" ); document.write( "A+22.5=90 \n" ); document.write( "A=90-22.5 \n" ); document.write( "A=67.5 DEGREES. \n" ); document.write( "B=4*22.5=90 DEGREES. \n" ); document.write( "PROOF: \n" ); document.write( "A+C+B=180 \n" ); document.write( "60+30+90=180 \n" ); document.write( " \n" ); document.write( " |