document.write( "Question 531446: An angle has a degree measure such that its complement is 1/4 its supplement. Determine this angle's complement. \n" ); document.write( "

Algebra.Com's Answer #350455 by oberobic(2304) $\"\"$ $\"About$

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Angle 'x' has a complement: 90-x.
\n" ); document.write( "Angle 'x' has a supplement: 180-x.
\n" ); document.write( "Angle 'x's' complement is 1/4 its supplement.
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\n" ); document.write( "90-x = 1/4(180-x)
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\n" ); document.write( "Multiply both sides by 4 to eliminate fraction.
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\n" ); document.write( "4(90-x) = 180-x
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\n" ); document.write( "Use distribute property to remove parentheses
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\n" ); document.write( "360 -4x = 180 -x
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\n" ); document.write( "Add 'x' to both sides and subtract 360 from both sides.
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\n" ); document.write( "-3x = -180
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\n" ); document.write( "Divide both sides by -3.
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\n" ); document.write( "x = 60
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\n" ); document.write( "Check this answer to see if it is correct.
\n" ); document.write( "The complement = 90-60 = 30.
\n" ); document.write( "The supplement = 180-60 = 120.
\n" ); document.write( "Is the complement 1/4 of the supplement?
\n" ); document.write( "Yes.
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\n" ); document.write( "Answer: The angle is 60 degrees.
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\n" ); document.write( "Done. \n" ); document.write( "

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