document.write( "Question 998471: Find the measure of the angle such that the sum of its complement and supplement is 6 degrees more than nine times the angle \n" ); document.write( "
Algebra.Com's Answer #616233 by clearblueskai(22)\"\" \"About 
You can put this solution on YOUR website!
first, set up equations.
\n" ); document.write( "let x be the angle, y be the complement and z be the supplement\r
\n" ); document.write( "\n" ); document.write( "eq. 1: x+y= 90
\n" ); document.write( "eq. 2: x+z= 180
\n" ); document.write( "eq. 3: y+z = 9x+6\r
\n" ); document.write( "\n" ); document.write( "Change eq. 1 and eq. 2 in terms of y and z
\n" ); document.write( "eq. 1: y = 90-x
\n" ); document.write( "eq. 2: z = 180-x\r
\n" ); document.write( "\n" ); document.write( "substitute these two equations in eq.3
\n" ); document.write( "(90-x) + (180-x) = 9x+6\r
\n" ); document.write( "\n" ); document.write( "Solve for x
\n" ); document.write( "90 - x + 180 - x = 9x + 6
\n" ); document.write( "90 + 180 - 6 = 9x + x + x
\n" ); document.write( "264 = 11x
\n" ); document.write( "264/11 = x
\n" ); document.write( "24 = x\r
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