SOLUTION: 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 paralle

Algebra ->  Geometry-proofs -> SOLUTION: 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 paralle      Log On


   

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.
Answer by Edwin McCravy(20066) About Me  (Show Source):
You can put this solution on YOUR website!


Here is an outline of the proof. You can use it to
write a two line proof.

Angles G and HJN are congruent because opposite internal
angles of parallelogram GHJN are congruent.

Angles HJN and KJM are vertical angles because H and M are collinear
and N and K are collinear

Angle HJN is congruent to angle KJM because
they are vertical angles.

Angles KJM and L are congruent because opposite internal
angles of parallelogram JKLM are congruent.

Angle G and anhle L are copngruent because they
are congruent to congruent vertical angles HJN and KJM

Edwin