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In the given figure, if line AB || line CF and line BC || line ED then prove that ∠ABC = ∠FDE. |
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Answer» Given: line AB || line CF and line BC || line ED To prove: ∠ABC = ∠FDE Proof: line AB || line PF and line BC is their transversal. ∴ ∠ABC = ∠BCD ….(i) [Alternate angles] line BC || line ED and line CD is their transversal. ∴ ∠BCD = ∠FDE ….(ii) [Corresponding angles] ∴ ∠ABC = ∠FDE [From (i) and (ii)]. |
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