9. In the figure show that 1)AB parallel to CD 2)CD parallel to EF 3)CD parallel to EF Justify them
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Answer: (i) From the figure, ∠ABC=40° and ∠BCD=20°+20°=40° and both of them are alternate to each other, hence AB║CD because two line segments are parallel if angles made by them form alternate angles pair.
(ii) Also, ∠FEC+∠ECD=160°+20°=180°, thus sum of corresponding angles is equal to 180°, then CD║EF.
(iii) Now, AB║CD and CD║EF, therefore AB║EF.
Hence proved.
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