Question
If l, m, n are three lines such that l || m and n ⊥ l, then prove that n ⊥ m.
Solution
Given: l, m, n are three lines such that l || m and n ⊥ l.
To Prove: n ⊥ m
Proof: ∵ l || m and n is a transversal
∵ ∠1 = ∠2 | Corresponding angles
But ∠1 = 90° | ∵ n ⊥ l (given)
∴ ∠2 = 90°
⇒ n ⊥ m
