document.write( "Question 160131: What 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 #118096 by nerdybill(7384) $\"\"$ $\"About$

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What are the measures of two complementary angles if the difference in the measures of the two angles is 12?
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\n" ); document.write( "if two angles are complementary, then the sum is 90 deg.
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\n" ); document.write( "Let x = larger of the two angles
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\n" ); document.write( "90-x = smaller of the two
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\n" ); document.write( "x - (90-x) = 12
\n" ); document.write( "x - 90 + x = 12
\n" ); document.write( "2x - 90 = 12
\n" ); document.write( "2x = 102
\n" ); document.write( "x = 51 deg (larger angle)
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\n" ); document.write( "smaller angle:
\n" ); document.write( "90-x = 90-51 = 39 deg \n" ); document.write( "

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