Question

In figure angle A is congruent to angle B then prove
that line L ll line m.
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Answer 1

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GIVEN :-

∠a ≅ ∠b  

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]