document.write( "Question 147077: Problem:
\n" );
document.write( " Two angles are supplementary. Three times the smaller is five less than twice the larger. Find the number of degrees in each angle. \n" );
document.write( "
Algebra.Com's Answer #107416 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two angles are supplementary. \n" ); document.write( ": \n" ); document.write( "let x = 1 angle \n" ); document.write( "then \n" ); document.write( "(180-x) = it's supplement \n" ); document.write( ": \n" ); document.write( "\"Three times the smaller is five less than twice the larger.\" \n" ); document.write( "3x = 2(180-x) - 5 \n" ); document.write( "3x = 360 - 2x - 5 \n" ); document.write( "3x + 2x = 360 - 5 \n" ); document.write( "5x = 355 \n" ); document.write( "x = \n" ); document.write( "x = 71 \n" ); document.write( ": \n" ); document.write( " Find the number of degrees in each angle. \n" ); document.write( "71 degrees = smaller angle \n" ); document.write( ": \n" ); document.write( "180 - 71 = 109 degrees is the larger angle \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solutions in the statement: \n" ); document.write( "\"Three times the smaller is five less than twice the larger.\" \n" ); document.write( "3(71) = 2(109) - 5 \n" ); document.write( "213 = 218 - 5 \n" ); document.write( " \n" ); document.write( " |