document.write( "Question 156708: Find the measure of an angle such that the sum of the measures of its complement and its supplement is 100 degrees. \n" ); document.write( "
Algebra.Com's Answer #115534 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! If the sum of two angles adds up to 180°, then the angles are said to be supplementary. \n" ); document.write( ". \n" ); document.write( "If the sum of two angles adds up to 90°, then the angles are said to be complementary. \n" ); document.write( ". \n" ); document.write( "Let x = angle \n" ); document.write( "supplement angle = 180-x \n" ); document.write( "complement angle = 90-x \n" ); document.write( ". \n" ); document.write( "From:\"sum of the measures of its complement and its supplement is 100 degrees\" we get: \n" ); document.write( "(180-x)+(90-x) = 100 \n" ); document.write( "180 -x + 90 -x = 100 \n" ); document.write( "270 -2x = 100 \n" ); document.write( "270 = 100 + 2x \n" ); document.write( "170 = 2x \n" ); document.write( "85 deg = x \n" ); document.write( " \n" ); document.write( " |