document.write( "Question 991872: find the measures of two complementary angles if the difference in the measures of the two angle is 12 \n" ); document.write( "

Algebra.Com's Answer #611627 by Theo(13342) $\"\"$ $\"About$

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the two angles are x and y.
\n" ); document.write( "if they are complementary, then x = 90 - y
\n" ); document.write( "if the difference in the angles is 12, and y is the larger angle, then y = x + 12.
\n" ); document.write( "replace y with x + 12 in the equation of x = 90 - y to get:
\n" ); document.write( "x = 90 - (x + 12)
\n" ); document.write( "simplify to get:
\n" ); document.write( "x = 90 - x - 12.
\n" ); document.write( "combine like terms to get x = 78 - x.
\n" ); document.write( "add x to both sides of the equation to get 2x = 78.
\n" ); document.write( "divide both sides of the equation by 2 to get x = 39.
\n" ); document.write( "since y is 12 degrees more than x, then y must be equal to 51.
\n" ); document.write( "the sum of x and y is equal to 39 + 51 which is equal to 90, so the angles are comlementary.
\n" ); document.write( "their difference is 12 and they are complementary so the problem is solved.
\n" ); document.write( "your solution is that the measure of the angles is 39 and 51.\r
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