Question

1
9. In the given figure, AB || CD and a transversal EF cuts them at G and H
respectively.
If GL and HM are the bisectors of the alternate angles angle AGH and
angle GHD respectively, prove that GL || HM.​

Answer 1

Answer:

You should have mentioned d the figure... if this is the required figure drawn.. this will be the solution

Answer 2

iven: AB ∥CD GL and HM are angle bisectors of ∠AGH and ∠GHD, respectively. ∠AGH=∠GHD (alternate angles)or 12 ∠AGH=12∠GHDor ∠LGH = ∠GHM (given)Therefore, GL ∥ HM as we know that if the angles of any pair of alternate interior angles are equal, then the lines are parallel.

sorry for typing like this