In Fig 8.108, show that AB|| EF.

Produce EF to intersect AC at K

Now,


DCE + CEF = 35o + 145o


= 180o


Therefore, EF CD (Since, sum of co-interior angles is 180o) (i)


Now,


BAC = ACD = 57o


BA CD (Therefore, alternate angles are equal) (ii)


From (i) and (ii), we get


AB EF (Lines parallel to the same line are parallel to each other)


Hence, proved


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