document.write( "Question 400357: Hello.
\n" ); document.write( "I am not sure how the book gets an answer of 12 for the following question.
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\n" ); document.write( "\n" ); document.write( "Quadrilateral QUAD is a rectangle. Find the value of x.\r
\n" ); document.write( "\n" ); document.write( "Angle 4 = 6x-16, angle 2 = 2x+4
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Algebra.Com's Answer #283421 by richard1234(7193)\"\" \"About 
You can put this solution on YOUR website!
It can be shown that angle 2 equals angle 3, since the diagonals of a rectangle are equal and the diagonals intersect at the diagonal. Also, the sum of two angles in a triangle equals the exterior angle of the third angle, so the measure of angle 2 plus the measure of angle 3 equals the measure of angle 4. Thus,\r
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\n" ); document.write( "\n" ); document.write( "\"%282x%2B4%29+%2B+%282x%2B4%29+=+6x-16\"\r
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\n" ); document.write( "\n" ); document.write( "\"4x+%2B+8+=+6x+-+16\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x+=+24\" --> \"x+=+12\"\r
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