document.write( "Question 1048103: The larger of two supplementary angles exceeds 7 times the smaller by 4 degrees. Find the measure of the larger angle.
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document.write( "Please give me an explanation. \n" );
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Algebra.Com's Answer #663671 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Supplementary angles add up to 180 degrees. \n" ); document.write( "Let the larger angle be y and the smaller be x \n" ); document.write( "y = 7x+4 \n" ); document.write( "And we know that \n" ); document.write( "y+x = 180 Substitute for y \n" ); document.write( "7x+4+x = 180 \n" ); document.write( "8x = 176 \n" ); document.write( "x = 22 The smaller angle is 22 degrees, and the bigger angle: \n" ); document.write( "7*(22)+4 = 158 \n" ); document.write( ">>>>>>>>>>>>>>>>>> \n" ); document.write( "Since they are supplementary, they MUST add up to 180: \n" ); document.write( "22+158 = 180 \n" ); document.write( ": \n" ); document.write( "Happy learning, \n" ); document.write( "John \n" ); document.write( " \n" ); document.write( " |