document.write( "Question 895036: The supplement of an angle y measures 10x+4 and the complement of the angle measures 4x. What is the measure of angle y? The answer is 32.7 degrees. I don't know how they came to that answer.\r
\n" ); document.write( "\n" ); document.write( "-I tried taking the 10x+4-y=180. But after subtracting and getting like numbers on their respective sides I end up with x-y=17.6. This is where I'm stuck. The back of the book states that the answer is supposed to be 32.7 degrees. ??? Help Please!!! \n" ); document.write( "

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The supplement of an angle y measures 10x+4 and the complement of the angle measures 4x. What is the measure of angle y? The answer is 32.7 degrees. I don't know how they came to that answer.\r
\n" ); document.write( "\n" ); document.write( "-I tried taking the 10x+4-y=180. But after subtracting and getting like numbers on their respective sides I end up with x-y=17.6. This is where I'm stuck. The back of the book states that the answer is supposed to be 32.7 degrees. ??? Help Please!!!
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document.write( "Since angle y’s supplement is: 10x + 4, then y = 180 – (10x + 4), or y = 180 – 10x – 4, or y = 176 – 10x
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document.write( "Since angle y’s complement is: 4x, then y = 90 – 4x
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document.write( "Since y = 176 – 10x, and y also = 90 – 4x, then we can say that:
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document.write( "176 – 10x = 90 – 4x 
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document.write( "– 10x + 4x = 90 – 176 
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document.write( "- 6x = - 86
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document.write( "x = , or , or \r
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document.write( "Since , then this value can be substituted in any of the y-equations to determine the value of y.
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document.write( "Using the 2nd y-equation (easier of the 2): y = 90 – 4x, we now have:
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document.write( " ------ Substituting  for x
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document.write( "y = , or , or y = 32.66666 ≈  \n" );
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