document.write( "Question 262375: I was given that GHJN and JKLM are parallelograms. H and M are collinear and N and K are collinear. I have to prove that angle G is congruent to angle L. The picture is two parallelograms and it is connected by a corner. \n" ); document.write( "

Algebra.Com's Answer #193355 by Edwin McCravy(20066) $\"\"$ $\"About$

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document.write( "Here is an outline of the proof. You can use it to\r\n" );
document.write( "write a two line proof.\r\n" );
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document.write( "Angles G and HJN are congruent because opposite internal\r\n" );
document.write( "angles of parallelogram GHJN are congruent.\r\n" );
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document.write( "Angles HJN and KJM are vertical angles because H and M are collinear\r\n" );
document.write( "and N and K are collinear\r\n" );
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document.write( "Angle HJN is congruent to angle KJM because\r\n" );
document.write( "they are vertical angles.\r\n" );
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document.write( "Angles KJM and L are congruent because opposite internal\r\n" );
document.write( "angles of parallelogram JKLM are congruent.\r\n" );
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document.write( "Angle G and anhle L are copngruent because they\r\n" );
document.write( "are congruent to congruent vertical angles HJN and KJM\r\n" );
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document.write( "Edwin

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