Question

G
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 AGH and
GHD respectively, prove that GL || HM.​

Answer 1

Answer:

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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.