document.write( "Question 1148528: angle 1 supp. angle 2.
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document.write( "angle 3 supp. angle 4.
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document.write( "angle 5 supp. angle 6.
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document.write( "angle 2 is congruent to angle 4
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document.write( "angle 1 = 3x
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document.write( "angle 2 =6y
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document.write( "angle 3 = 2x+10
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document.write( "angle 4 = 40+z
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document.write( "angle 5= x+ y+z
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document.write( "Find angle 6.
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document.write( "
Algebra.Com's Answer #802510 by CubeyThePenguin(3113) You can put this solution on YOUR website! 3x + 6y = 180 \n" ); document.write( "2x + 10 + 40 + z = 180 \n" ); document.write( "x + y + z + (angle 6) = 180 \n" ); document.write( "6y = 40 + z\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The first, second, and fourth equations are usable.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 2y = 60 \n" ); document.write( "2x + z = 130 \n" ); document.write( "6y - z = 40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solving, we get (x, y, z) = (10, 25, 110).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we can substitute into the third equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10 + 25 + 110 + (angle 6) = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "angle 6 = 35 degrees \n" ); document.write( " |