document.write( "Question 885754: the measures of two angles are in the ratio 4:5 .The larger of the two angles is 60 less than twice the smaller angle.Find the measure of the angle.Are the angles complementary or supplementary? \n" ); document.write( "
Algebra.Com's Answer #535397 by basketball1127(19)![]() ![]() ![]() You can put this solution on YOUR website! Let 4x= measure of smaller angle \n" ); document.write( " 5x= measure of larger angle\r \n" ); document.write( "\n" ); document.write( "Then \n" ); document.write( "5x=2(4x)-60° \n" ); document.write( "5x=8x-60° \n" ); document.write( "8x-5x=60° \n" ); document.write( "3x=60° \n" ); document.write( "x=20° \n" ); document.write( "smaller angle = 4x = 4(20°) = 80° \n" ); document.write( "larger angle= 5x = 5(20°) = 100°\r \n" ); document.write( "\n" ); document.write( "100°+80°=180° \n" ); document.write( "Therefore the angles are supplementary\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |