Question

Solve the following:

Answer 1

Proof:

It is given that the transversal EF cuts the parallel lines AB and CD and points G and H respectively.

By the property that alternate angles are equal,

∠AGH = ∠GHD.

=> The angle bisectors of ∠AGH and ∠GHD must be parallel.

Since GL and HM are the angle bisectors of ∠AGH and ∠GHD respectively,

=> GL//HM.