document.write( "Question 346762: if two angles are complementary and one angle measures 4x + 3 and the other measures 2x + 21, find the measure of an angle \n" ); document.write( "
Algebra.Com's Answer #248897 by Chandni(2)![]() ![]() ![]() You can put this solution on YOUR website! Complementary means=90 \n" ); document.write( "Let angle A=4x+3 \n" ); document.write( "Let angle B=2x+21 \n" ); document.write( "From A+B=90 \n" ); document.write( "Substitute the values \n" ); document.write( "(4x+3)+ (2x+21)=90 \n" ); document.write( "Collect like terms \n" ); document.write( "4x+2x+3+21=90 \n" ); document.write( "6x+24=90 \n" ); document.write( "6x=90-24 \n" ); document.write( "6x=66 \n" ); document.write( "x=66/6 \n" ); document.write( "x=11 \n" ); document.write( "If x=11, 4(11)+3=44+3=47 \n" ); document.write( " 2(11)+21=22+21=43 \n" ); document.write( "Check:A+B=90 \n" ); document.write( " 47+43=90 \n" ); document.write( "Therefore; the measure of the angles are 47 and 43 respectively. \n" ); document.write( " |