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 #123083 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let the angle whose supplement you are trying to find = A \n" ); document.write( "The supplement of angle A is (180-A) and 58 degrees more than that is: \n" ); document.write( "(180-A)+58. \n" ); document.write( "Now you have enough to write an equation that will let you find the angle A. \n" ); document.write( "A = (180-A)+58 Simplify this to: \n" ); document.write( "A = 180+58-A Add A to both sides. \n" ); document.write( "2A = 238 Divide both sides by 2. \n" ); document.write( "A = 119 degrees. But you are asked to find the supplement of A. \n" ); document.write( "180-A = 180-119 = 61 degrees. \n" ); document.write( "Check: \n" ); document.write( "A = (180-A)+58 Substitute A = 119. \n" ); document.write( "119 = (180-119)+58 \n" ); document.write( "119 = 61+58 \n" ); document.write( "119 = 119 It checks! \n" ); document.write( " |