document.write( "Question 1013322: Opposite angles of a parallelogram measure (5x-26) degrees and (4x+4) degrees. Find the measures of all the angles. \n" ); document.write( "

Algebra.Com's Answer #629584 by josmiceli(19441) $\"\"$ $\"About$

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Opposite angles of a parallelogram
\n" ); document.write( "are equal, so
\n" ); document.write( " $\"+5x+-+26+=+4x+%2B+4+\"$
\n" ); document.write( " $\"+x+=+30+\"$
\n" ); document.write( "The opposite angles are:
\n" ); document.write( " $\"+5x+-+26+=+5%2A30+-+26+\"$
\n" ); document.write( " $\"+5x+-+26+=+124+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+4x+%2B+4+=+4%2A30+%2B+4+\"$
\n" ); document.write( " $\"+4x+%2B+4+=+120+%2B+4+\"$
\n" ); document.write( " $\"+4x+%2B+4+=+124+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Let $\"+y+\"$ = one of the other opposite
\n" ); document.write( "pairs of angles. Since the angles of a
\n" ); document.write( "parallelogram add up to $\"+360+\"$ degrees,
\n" ); document.write( " $\"+124+%2B+124+%2B+2y+=+360+\"$
\n" ); document.write( " $\"+2y+=+360+-+248+\"$
\n" ); document.write( " $\"+2y+=+112+\"$
\n" ); document.write( " $\"+y+=+56+\"$
\n" ); document.write( "The angles are 56, 56, 124, and 124
\n" ); document.write( "check:
\n" ); document.write( " $\"+2%2A56+%2B+2%2A124+=+360+\"$
\n" ); document.write( " $\"+112+%2B+248+=+360+\"$
\n" ); document.write( " $\"+360+=+360+\"$
\n" ); document.write( "OK \n" ); document.write( "

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