document.write( "Question 158987: The larger of two supplementary angles exceeds seven times the smaller by four degrees. FInd the measure of the larger angle \n" ); document.write( "
Algebra.Com's Answer #117101 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The larger of two supplementary angles exceeds seven times the smaller by four degrees. FInd the measure of the larger angle \n" ); document.write( ". \n" ); document.write( "The problem expects that you know the definition of \"supplementary\". \n" ); document.write( "If two angles are supplementary, the sum of their angles equal 180. \n" ); document.write( ". \n" ); document.write( "Let x = larger angle \n" ); document.write( "then \n" ); document.write( "180-x = supplement of larger angle \n" ); document.write( ". \n" ); document.write( "From:\"The larger of two supplementary angles exceeds seven times the smaller by four degrees.\" we get our equation: \n" ); document.write( "x = 7(180-x) + 4 \n" ); document.write( "x = 1260 - 7x + 4 \n" ); document.write( "x = 1264 - 7x \n" ); document.write( "8x = 1264 \n" ); document.write( "x = 158 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |