Question
If l, m, n are three lines such that l ∥ m and $\text{n}\perp\text{l},$ prove that $\text{n}\perp\text{m}.$
✓
Answer
Given, l || m, $\text{n}\perp\text{l}$ To prove: $\text{n}\perp\text{m}$ Since l || m and n intersects$\therefore\ \angle{1}=\angle{2}$ [Corresponding angles]
But, U = 90$\Rightarrow\ \angle{2}=90^\circ$
Hence n is perpendicular to m.
But, U = 90$\Rightarrow\ \angle{2}=90^\circ$
Hence n is perpendicular to m.
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