document.write( "Question 505000: The sum of an angle's complementary and supplementary is 124. Find the measure of the angle. \n" ); document.write( "

Algebra.Com's Answer #339755 by oberobic(2304) $\"\"$ $\"About$

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a + c = 90
\n" ); document.write( "a + s = 180
\n" ); document.write( "c + s = 124
\n" ); document.write( ".
\n" ); document.write( "set up as a system of equations
\n" ); document.write( "1a + 1c + 0s = 90
\n" ); document.write( "1a + 0c + 1s = 180
\n" ); document.write( "0a + 1c + 1s = 124
\n" ); document.write( ".
\n" ); document.write( "add the first 2 equations and subtract the 3rd
\n" ); document.write( "1a + 1c + 0s = 90
\n" ); document.write( "1a + 0c + 1s = 180
\n" ); document.write( "-------------------
\n" ); document.write( "2a + 1c + 1s = 270
\n" ); document.write( "0a + 1c + 1s = 124
\n" ); document.write( "-----------------
\n" ); document.write( "2a +0c + 0s = 146
\n" ); document.write( ".
\n" ); document.write( "a = 73
\n" ); document.write( ".
\n" ); document.write( "Check this answer.
\n" ); document.write( "c = 90-73 = 17
\n" ); document.write( "s = 180-73 = 107
\n" ); document.write( "c+s = 124
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: Angle is 73.
\n" ); document.write( ".
\n" ); document.write( "Done.\r
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