document.write( "Question 152777: the measure of the supplement of an angle is 20 degrees more than 3 times the measure of the original angle. find the measures of the angles. please help, thank you. \n" ); document.write( "
Algebra.Com's Answer #112313 by orca(409) ![]() You can put this solution on YOUR website! Let x be the measure of riginal angle, then the measure of the supplement is 3x + 20. \n" ); document.write( "We can set up an equation using the fact that the sum of an angle and its supplement is 180. \n" ); document.write( "So x + (3x + 20) = 180 \n" ); document.write( "Solving the equation for x, we have \n" ); document.write( "x + 3x + 20 = 180 \n" ); document.write( "4x = 160 \n" ); document.write( "x = 40 \n" ); document.write( "So the measures of the angles are 40 and (180 - 40 =) 140 degrees. \n" ); document.write( " \n" ); document.write( " |