document.write( "Question 474873: The sum of the measures of two acute angles is 120. The supplement of the smaller angle is 10 more than 6 times the complement of the bigger angle. Find the measures of both angles. \n" ); document.write( "
Algebra.Com's Answer #325659 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! The sum of the measures of two acute angles is 120. The supplement of the smaller angle is 10 more than 6 times the complement of the bigger angle. Find the measures of both angles. \n" ); document.write( "** \n" ); document.write( "let x=smaller angle \n" ); document.write( "let y=larger angle \n" ); document.write( "x+y=120 \n" ); document.write( ".. \n" ); document.write( "180-x=6(90-y)+10 \n" ); document.write( "180-(120-y)=540-6y+10 \n" ); document.write( "180-120+y=550-6y \n" ); document.write( "60+y=550-6y \n" ); document.write( "7y=490 \n" ); document.write( "y=70 \n" ); document.write( "x=120-y=50 \n" ); document.write( "ans: \n" ); document.write( "smaller angle=50 \n" ); document.write( "larger angle=70 \n" ); document.write( " |