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Question -

If l, m, n are three lines such that l ||m and n ⊥ l, prove that n ⊥ m.



Answer -

Given : l, m, n are three lines such that l || m and n ⊥ l
 
To prove : n ⊥ m
Proof : ∵ l || m and n is the transversal.
∴ ∠l = ∠2 (Corresponding angles)
But ∠1 = 90° (∵ n⊥l)
∴ ∠2 = 90°
∴ n ⊥ m

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