document.write( "Question 263363: Two angles are supplementary. One angle is 15° more than three times the other angle. Find the measures of the angles. Let x and y represent the angles \n" ); document.write( "
Algebra.Com's Answer #194081 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Two angles are supplementary. One angle is 15° more than three times the other angle. Find the measures of the angles. Let x and y represent the angles \n" ); document.write( ". \n" ); document.write( "If two angles are supplementary, the sum of the two angles equals 180 degrees. \n" ); document.write( ". \n" ); document.write( "Let x = one angle \n" ); document.write( "and y = second angle \n" ); document.write( ". \n" ); document.write( "x+y = 180 (equation 1) \n" ); document.write( "x = 3y+15 (equation 2) \n" ); document.write( ". \n" ); document.write( "Substitute the definition of x from eq 2 into eq 1: \n" ); document.write( "x+y = 180 \n" ); document.write( "3y+15+y = 180 \n" ); document.write( "4y+15 = 180 \n" ); document.write( "4y = 165 \n" ); document.write( "y = 41.25 degrees \n" ); document.write( ". \n" ); document.write( "Other angle: \n" ); document.write( "x+y = 180 \n" ); document.write( "x+41.25 = 180 \n" ); document.write( "x = 180-41.25 \n" ); document.write( "x = 138.75 degrees \n" ); document.write( " |