document.write( "Question 208688: Two opposite angles of a parallelogram have measures 3x-20 and 2(x+5) respectively. Find the measures of the angles
\n" ); document.write( "Two consecutive angles of a parallelogram have measures 4(x+5) and 2(3x+20) respectively. Find the measures of the angles.
\n" ); document.write( "Two consecutive angles of a parallelogram have measures 2(x+12) and 2(5x+6) respectively. Find the measures of the angles. \n" ); document.write( "
Algebra.Com's Answer #157837 by stanbon(75887)\"\" \"About 
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Two opposite angles of a parallelogram have measures 3x-20 and 2(x+5) respectively. Find the measures of the angles.
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\n" ); document.write( "Opposite angles are equal.
\n" ); document.write( "3x-20 = 2(x+5)
\n" ); document.write( "3x-20 = 2x+10
\n" ); document.write( "x = 30
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\n" ); document.write( "1st angle = 3x-20 = 3*30-20 = 70
\n" ); document.write( "2nd angle = 2x+10 = 2*30+10 = 70
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\n" ); document.write( "\n" ); document.write( "Two consecutive angles of a parallelogram have measures 4(x+5) and 2(3x+20) respectively. Find the measures of the angles.\r
\n" ); document.write( "\n" ); document.write( "Consecutive angles are supplementary.
\n" ); document.write( "4(x+5) + 2(3x+20) = 180
\n" ); document.write( "2(x+5) + (3x+20) = 90
\n" ); document.write( "5x + 30 = 90
\n" ); document.write( "x = 12
\n" ); document.write( "---
\n" ); document.write( "1st angle = 4(12+5) = 68
\n" ); document.write( "2nd angle = 2(3*12+20) = 112
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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