document.write( "Question 1121788: Two angles form a linear pair. The measure of one angle is 26∘ greater than the measure of the other angle. Find the measure of each angle.
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Algebra.Com's Answer #737771 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "x + y = 180   degrees,    (where x is the larger angle measure)\r\n" );
document.write( "x - y = 26    degrees.\r\n" );
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document.write( "Add the two equations. You will get\r\n" );
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document.write( "2x = 180 + 26 = 206  ====>  x = 206/2 = 103 degrees.\r\n" );
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document.write( "Answer.  One angle is 103 degrees.  The other angle is  103 - 26 = 77 degrees.\r\n" );
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document.write( "Check.   103 + 77 = 180 degrees.   ! Correct !\r\n" );
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document.write( "Let y be the degree measure of the smaller angle.\r\n" );
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document.write( "Then the larger angle degree measure is (y+26),  and their sum is 180 degrees:\r\n" );
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document.write( "y + (y + 26) = 180\r\n" );
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document.write( "2y + 26 = 180\r\n" );
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document.write( "2y = 180 - 26 = 154\r\n" );
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document.write( "====>  y = 154/2 = 77 degrees,  and you get the same answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
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