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