document.write( "Question 167076: I need help with my geometry word problems. The problem is:\r
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document.write( "The measure of an angle is 58 degrees more than its supplement. Find the measure of the supplement.\r
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document.write( "This question puzzles me please help! I need to show work and I won't be able to understand the answer unless I see work to solve other equations thanks. \n" );
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Algebra.Com's Answer #123082 by Mathtut(3670)![]() ![]() ![]() You can put this solution on YOUR website! 2 angles make up a supplementary angles. Lets call them A and B,and the total of A and B has to total 180 degrees(definition of supplementary angles).\r \n" ); document.write( "\n" ); document.write( "so A+B=180\r \n" ); document.write( "\n" ); document.write( "we also know that one angle(makes no difference which one in this case) is 58 degrees more than the other so\r \n" ); document.write( "\n" ); document.write( "A=B+58 substitute this A value back into the 1st equation\r \n" ); document.write( "\n" ); document.write( "(B+58)+B=180 \n" ); document.write( "2B=180-58 \n" ); document.write( "2B=122 \n" ); document.write( " \n" ); document.write( "A=61+58= |