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Lines and Angles
Question
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If l, m, n are three lines such that l || m and n ⊥ l, then 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 a transversal
∵ ∠1 = ∠2 | Corresponding angles
But ∠1 = 90°    | ∵ n ⊥ l (given)
∴ ∠2 = 90°
⇒    n ⊥ m

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Some More Questions From Lines and Angles Chapter

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