document.write( "Question 113269: Two angles are supplementary, and one is 5° more than six times the other. Find the larger angle. \n" ); document.write( "

Algebra.Com's Answer #82424 by Earlsdon(6294) $\"\"$ $\"About$

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Let the two angles be x and y.
\n" ); document.write( "If two angles are supplementary, then their sum is 180 degrees, so you can write:
\n" ); document.write( "1) x + y = 180 Rewrite this as:
\n" ); document.write( "2) x = 180-y
\n" ); document.write( "From the problem, you can write:
\n" ); document.write( "3) x = 6y+5 \"One angle is 5 degrees more than 6 times the other\"
\n" ); document.write( "Substitute the x from equation 2 into equation 3 and solve for y.
\n" ); document.write( "(180-y) = 6y+5 Add y to both sides.
\n" ); document.write( "180 = 7y+5 Subtract 5 from both sides.
\n" ); document.write( "175 = 7y Divide both sides by 7
\n" ); document.write( "25 = y and...
\n" ); document.write( "x = 180-y
\n" ); document.write( "x = 180-25
\n" ); document.write( "x = 155
\n" ); document.write( "The larger angle is 155 degrees.
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