document.write( "Question 50891: Qhat are the measures of two complementary angles if the difference in the measures of the two angles is 12? \n" ); document.write( "
Algebra.Com's Answer #33911 by Earlsdon(6294)\"\" \"About 
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Recall that if two angles are complementary, their sum is 90 degrees.
\n" ); document.write( "If you let the two angles be x and y, then:
\n" ); document.write( "x + y = 90.
\n" ); document.write( "In the problem description, the difference of these two angles is 12 degrees.
\n" ); document.write( "So you can write:
\n" ); document.write( "x - y = 12 By adding y to both sides, you can rewrite this as:
\n" ); document.write( "x = y+12 Now substitute this for x in the first equation.
\n" ); document.write( "(y+12) + y = 90 Simplify and solve for y.
\n" ); document.write( "2y+12 = 90 Subtract 12 from both sides.
\n" ); document.write( "2y = 78 Finally, divide both sides by 2.
\n" ); document.write( "y = 39 degrees, and:
\n" ); document.write( "x = y+12
\n" ); document.write( "x = 39+12
\n" ); document.write( "x = 51 degrees.\r
\n" ); document.write( "\n" ); document.write( "x+y = 90
\n" ); document.write( "39 + 51 = 90
\n" ); document.write( "90 = 90\r
\n" ); document.write( "\n" ); document.write( "x-y = 12
\n" ); document.write( "51-39 = 12
\n" ); document.write( "12 = 12\r
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