document.write( "Question 52644This question is from textbook Geometry
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document.write( ": anglel and m are complementary. Angle p and N are complementary. angle l= y-2. m=2x+3 p=x-1 N=2x-y find x and y and the measure of each angle \n" );
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Algebra.Com's Answer #35133 by gsmani_iyer(201)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " Angles l+m = 90 and n+p = 90 degrees. i.e. \n" ); document.write( " \n" ); document.write( " angles l + m + n + p = 180 degrees \n" ); document.write( " \n" ); document.write( " y-2+2x+3+x-1+2x-y = 180 degrees. \n" ); document.write( " \n" ); document.write( " 5x = 180 degrees. So x = 36. \n" ); document.write( " \n" ); document.write( " angles l + m = y-2+2x+3 = 90 degrees. \n" ); document.write( " \n" ); document.write( " 2x + y + 1 = 90; so, 2x+y = 89; By replacing the value of x above, we get \n" ); document.write( " \n" ); document.write( " 2(36)+y = 89; i.e. 72 + y = 89. \n" ); document.write( " \n" ); document.write( " y = 89-72 = 17. \n" ); document.write( " \n" ); document.write( " x = 36; y = 17. Answer. The problem can be solved in a different way too. \n" ); document.write( " \n" ); document.write( " y-2+2x+3 = 90 i.e. 2x+y+1 = 90; 2x+y = 89 .....(1) \n" ); document.write( " x-1+2x-y = 90 i.e. 3x-y-1 = 90; 3x-y = 91 .....(2) \n" ); document.write( " (2) + (1), we get 5x = 180; so x = 36. Now replacing this value of x in (1), \n" ); document.write( " 72+y = 89; So y = 17. \n" ); document.write( " x = 36; y = 17. Answer. I think this helps you a lot. \n" ); document.write( " \n" ); document.write( "gsm \n" ); document.write( " \n" ); document.write( " |