document.write( "Question 133115: I have really tried answering this problem, could you please help me out I would really appreciate it.
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document.write( "Question: If angle A and B are complementary angles,and angle A is 9 degrees less than twice angle B, find the measures of angles A and B. \n" );
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Algebra.Com's Answer #97322 by nycsharkman(136)![]() ![]() ![]() You can put this solution on YOUR website! As soon as you see the word complementary, you must know that the angles add up to 90 degrees.\r \n" ); document.write( "\n" ); document.write( "angle A + angle B = 90\r \n" ); document.write( "\n" ); document.write( "angle A = 9 less than TWICE angle B. We don't know what angle B is, right? I will say that angle B = x.\r \n" ); document.write( "\n" ); document.write( "angle A = 2x - 9\r \n" ); document.write( "\n" ); document.write( "We now have this equation:\r \n" ); document.write( "\n" ); document.write( "2x - 9 + x = 90\r \n" ); document.write( "\n" ); document.write( "Solve for x.\r \n" ); document.write( "\n" ); document.write( "3x - 9 = 90\r \n" ); document.write( "\n" ); document.write( "3x = 90 + 9\r \n" ); document.write( "\n" ); document.write( "3x = 99\r \n" ); document.write( "\n" ); document.write( "x = 99/3\r \n" ); document.write( "\n" ); document.write( "x = 33\r \n" ); document.write( "\n" ); document.write( "The measure of angle A = 2(33) - 9.\r \n" ); document.write( "\n" ); document.write( "angle A = 66 - 9\r \n" ); document.write( "\n" ); document.write( "angle A = 57 degrees\r \n" ); document.write( "\n" ); document.write( "===================================\r \n" ); document.write( "\n" ); document.write( "angle B = x and I just found that x = 33, right?\r \n" ); document.write( "\n" ); document.write( "Then, angle B = 33 degrees.\r \n" ); document.write( "\n" ); document.write( "How do you know that I am right?\r \n" ); document.write( "\n" ); document.write( "When adding 33 + 57, I get 90 degrees ON BOTH SIDES of the equation.\r \n" ); document.write( "\n" ); document.write( "Did you follow?\r \n" ); document.write( "\n" ); document.write( "NOTE: If you see a similar question saying that two angles are supplementary, this means that both angles, when added, will produce 180 degrees. I give you this information now because most likely you will a question like that in your math course.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |