document.write( "Question 349159: One of two supplementary angles is 27 degrees less than 4/5 the other. Find the larger angle \n" ); document.write( "

Algebra.Com's Answer #249597 by ewatrrr(24785) $\"\"$ $\"About$

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HI,
\n" ); document.write( "*Note: the sum of supplementary angles is 180 degrees
\n" ); document.write( "Let x larger angle
\n" ); document.write( " $\"%28%284%2F5%29%2Ax+-+27%29\"$ would be the other
\n" ); document.write( ".
\n" ); document.write( " $\"x+%2B+%28%284%2F5%29%2Ax+-+27%29+=+180\"$
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\n" ); document.write( "simplify and solve for x
\n" ); document.write( " $\"x+%2B+%284%2F5%29%2Ax+-+27+=+180\"$
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\n" ); document.write( "Multiply each term on both sides of the equation by 5
\n" ); document.write( "5x + 4x - 135 = 900
\n" ); document.write( "9x = 1035
\n" ); document.write( "x = 115 degrees ( IS THE LARGER ANGLE)
\n" ); document.write( ".
\n" ); document.write( "check Your answer:
\n" ); document.write( "(4/5)*x - 27) = 65degrees (then the smaller one)
\n" ); document.write( "115degrees + 65degrees = 180degrees \n" ); document.write( "

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