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parellelogram abcd has a diagonal of ac
\n" ); document.write( "angle cab is x-12
\n" ); document.write( "angle acd is 1/2y
\n" ); document.write( "angle d is 4x-8
\n" ); document.write( "angle b is 3y-4
\n" ); document.write( "please help!
\n" ); document.write( ":
\n" ); document.write( "we know because this is a parallelogram that cab is = to acd
\n" ); document.write( "and we know that angle d is equal to angle b
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\n" ); document.write( "x-12=1/2y...........eq 1
\n" ); document.write( "4x-8=3y-4...........eq 2--->4x-3y=4
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\n" ); document.write( "multiply all terms in eq 1 by 2 to get rid of fraction
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\n" ); document.write( "2x-24=y--->2x-y=24
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\n" ); document.write( "2x-y=24....eq 1 revised
\n" ); document.write( "4x-3y=4....eq 2 revised
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\n" ); document.write( "muliply eq 1 by -3 and add both equations together
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\n" ); document.write( "-6x+3y=-72...eq 1 revised
\n" ); document.write( "4x-3y=4......eq 2 revised
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\n" ); document.write( "adding the terms in each equation and the y term is eliminated becaue +3y-3y=0
\n" ); document.write( "we are left with -6x+4x=-72+4
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\n" ); document.write( "-2x=-68
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\n" ); document.write( "take x's found value and plug it into any numbered equation above. I choose eq 1 revised
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\n" ); document.write( " 2(34)-y=24--->-y=-44-->
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\n" ); document.write( "angle cab is x-12---->34-12=22 degrees
\n" ); document.write( "angle acd is 1/2y---->1/2(44)=22 degrees
\n" ); document.write( "angle d is 4x-8------>4(34)-8=128 degrees
\n" ); document.write( "angle b is 3y-4------>3(44)-4=128 degrees \n" ); document.write( "