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1.)
AB || CD ( Alternate interior angles )
Because it is forming alternate angles and alternate agles are formed between parallel lines only .
Angle ABC = Angle BCD = 40°
2.)
CD || EF
When a line cuts a parallel line the angles forms on interior has sum equal to 180° .
In this case this line is EC .
Angle FEC + Angle DCE = 180°
160° + 20° = 180°
180° = 180°
Hence this condition is true .
So, CD || EF
3.)
As , AB || CD and CD || EF . Then AB || EF
Hence proved .
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