Question

In the figure AB//CD and angle EGB=50.then write the measurement of angle AGE,angle AGH,angle BGH,angle GHC, angle GHD, angle CHF, angle DHF.​

Answer 1

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.