document.write( "Question 296302: Two angles \n" ); document.write( "

Algebra.Com's Answer #213542 by Edwin McCravy(20056) $\"\"$ $\"About$

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Two angles < J and < K are complementary. If m < J = (3x+2) and m < K = (x+8), find x and the measure of angles J and K.
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document.write( "[Note:\r\n" );
document.write( "Your entire problem appeared on the site only as \r\n" );
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document.write( "\"Two angles\"\r\n" );
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document.write( "That's because you can't use the 'less than' symbol \" < \" to indicate\r\n" );
document.write( "an angle unless you skip a space immediately after it. Otherwise the\r\n" );
document.write( "computer takes the \" < \" symbol to be the beginning of an HTML tag.)\r\n" );
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document.write( "When two angles are 'complementary' the sum of their measures is 90°.\r\n" );
document.write( "Therefore:\r\n" );
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document.write( "(3x+2)° + (x+8)° = 90°\r\n" );
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document.write( "Solve that and get x = 20°\r\n" );
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document.write( "Then substitute 20° for x in 3x+2 and get 3(20°)+2 = 62° and\r\n" );
document.write( "in x+8 and get (20°)+8 = 28°, and check that 62°+28°=90°.\r\n" );
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document.write( "(If the word had been \"supplementary\" instead of \"complementary\" \r\n" );
document.write( "the sum of the angles would have been 180° instead of 90°.\r\n" );
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document.write( "Edwin

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