document.write( "Question 1209462: An angle measures 68° more than the measure of its supplementary angle. What is the measure of each angle \n" ); document.write( "
Algebra.Com's Answer #848882 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Formally.... \n" ); document.write( "Let x be the measure of the angle \n" ); document.write( "Then 180-x is the measure of its supplement \n" ); document.write( "The angle measure is 68 degrees more than the measure of the supplement: \n" ); document.write( "x = (180-x)+68 \n" ); document.write( "x = 248-x \n" ); document.write( "2x = 248 \n" ); document.write( "x = 124 \n" ); document.write( "ANSWERS: \n" ); document.write( "the angle: x = 124 degrees \n" ); document.write( "the supplement: 180-x = 180-124 = 56 degrees \n" ); document.write( "Informally.... \n" ); document.write( "The sum of the measures of an angle and its supplement is 180 degrees. \n" ); document.write( "That means the measures of the two angles differ from 90 degrees by equal amounts. \n" ); document.write( "Since in this problem the difference between the measurements of the two angles is 68 degrees, the measures of the two angles differ from 90 degrees by 68/2 = 34 degrees. \n" ); document.write( "So the measures of the two angles are 90+34 = 124 degrees and 90-34 = 56 degrees. \n" ); document.write( "ANSWERS: 124 degrees and 56 degrees \n" ); document.write( " \n" ); document.write( " |