document.write( "Question 339058: The measure of one of two complementary angles is three more than twice the other. The smaller equals _ ? \n" ); document.write( "
Algebra.Com's Answer #243047 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let the two angles be A and B. \n" ); document.write( "A+B = 90 \"...two complementary angles...\" \n" ); document.write( "A = 2B+3 \"The measure of one of two complementary angles is three more than twice the other.\" Substitute this for A in the first equation and solve for angle B. \n" ); document.write( "(2B+3)+B = 90 Simplify. \n" ); document.write( "3B+3 = 90 Subtract 3 from both sides. \n" ); document.write( "3B = 87 Divide both sides by 3. \n" ); document.write( "B = 29 degrees. \n" ); document.write( "A = 2(29)+3 \n" ); document.write( "A = 61 degrees. \n" ); document.write( "The smaller angle equals 29 degress. \n" ); document.write( " |