document.write( "Question 779646: Two opposite angles of a parallelogram are (4x-5) and (50-x).Find the measure of each angle of the parallelogram. \n" ); document.write( "
Algebra.Com's Answer #475305 by jsmallt9(3758)\"\" \"About 
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The opposite angles in a parallelogram are congruent. So:
\n" ); document.write( "(4x-5) = (50-x)

\n" ); document.write( "Now we solve for x. Adding x:
\n" ); document.write( "5x-5 = 50
\n" ); document.write( "Add 5:
\n" ); document.write( "5x = 55
\n" ); document.write( "Divide by 5:
\n" ); document.write( "x = 11

\n" ); document.write( "From x we can find the two angles:
\n" ); document.write( "4(11)-5 = 44-5 = 39
\n" ); document.write( "The two given angles are 39 degrees.

\n" ); document.write( "The other two opposite angles will be congruent, too. And they will be supplementary to the first two angles. If we call these other two angles y then:
\n" ); document.write( "29 + y = 180
\n" ); document.write( "Subtracting 29 from each side:
\n" ); document.write( "y = 151
\n" ); document.write( "So the other two angles are 151 degrees each. \n" ); document.write( "
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