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Question
If l, m, n are three lines such that l || m and n ⊥ l, prove that n ⊥ m.
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Solution
Given l || , m ,n perpendicular l
To prove: n ⊥ m
Since l || m and n intersects them at G and H respectively
∴`∠`1= `∠`2 [Corresponding angles]
But, U = 90° [n ⊥ l ]
⇒ `∠`2 = 90°
Hence n perpendicular m
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