document.write( "Question 517793: Two lines intersect to form two pairs of vertical angles. Angle 1 with measure (20x + 7) degrees and angle 3 with measure (5x + 7y + 49) degrees are vertical angles. Angle 2 with measure (3x - 2y + 30) degrees and angle 4 are vertical angles. Find the values x and y and the measure of all four angles.
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Algebra.Com's Answer #345043 by ankor@dixie-net.com(22740)\"\" \"About 
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Two lines intersect to form two pairs of vertical angles.
\n" ); document.write( " Angle 1 with measure (20x + 7) degrees and angle 3 with measure (5x + 7y + 49) degrees are vertical angles.
\n" ); document.write( " Angle 2 with measure (3x - 2y + 30) degrees and angle 4 are vertical angles. Find the values x and y and the measure of all four angles.
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\n" ); document.write( "We know that adjacent angles = 180, so using Angles 1 & 2, write an equation:
\n" ); document.write( "(20x+7) + (3x-2y+30) = 180
\n" ); document.write( "20x + 3x - 2y + 7 + 30 - 180
\n" ); document.write( "23x - 2y = 180 - 37
\n" ); document.write( "23x - 2y = 143
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\n" ); document.write( "Angle 4 = Angle 2, using adjacent angles 3 & 4, write another equation
\n" ); document.write( "(5x+7y+49) + (3x-2y+30) = 180
\n" ); document.write( "5x + 3x + 7y - 2y + 49 + 30 = 180
\n" ); document.write( "8x + 5y = 180 - 79
\n" ); document.write( "8x + 5y = 101
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\n" ); document.write( "Multiply the 1st equation by 5, multiply the 2nd equation by 2
\n" ); document.write( "115x - 10y = 715
\n" ); document.write( "16x + 10y = 202
\n" ); document.write( "------------------addition eliminates y, find x
\n" ); document.write( "131x = 917
\n" ); document.write( "x = \"917%2F131\"
\n" ); document.write( "x = 7
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\n" ); document.write( "Find y using: 8x + 5y = 101
\n" ); document.write( "8(7) + 5y = 101
\n" ); document.write( "56 + 5y = 101
\n" ); document.write( "5y = 101 - 56
\n" ); document.write( "5y = 45
\n" ); document.write( "y = \"45%2F5\"
\n" ); document.write( "y = 9
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\n" ); document.write( "Angle 1, 20x+7; 20(7) + 7 = 147 degrees
\n" ); document.write( "Angle 2, 3x-2y+30; 3(7) - 2(9) + 30 = 33 degrees
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\n" ); document.write( "Note that Angles 1 & 2 add up to 180 degrees, Angles 3 and 4 should be the same
\n" ); document.write( "Angle 3, 5x+7y+49; 5(7) + 7(9) + 49 = 147 degree
\n" ); document.write( "Angle 4, 3x-2y+30; 3(7) - 2(9) + 30 = 33 degrees
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\n" ); document.write( "Summarize: x=7, y=4, Angles 1*3 = 147, Angles 2&4 = 33 \n" ); document.write( "
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