in the given figure angle a ~ angle b and angle x~ angle y prove line l is parallel to line m
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To prove: line l| line m Proof: consider ∠c as shown in the figure ∠a ≅ ∠c …….. (i) [Vertically opposite angles] But, ∠a ≅ ∠b I (ii) [Given] ∴ ∠b ≅ ∠c [From (i) and (ii)] But, ∠b and ∠c are corresponding angles on lines l and m when line n is the transversal. ∴ line l || line m. [Corresponding angles test
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