Gujarat BoardEnglish MediumSTD 9MathsLines And Angles2 Marks
Question
If $l, m, n$ are three lines such that $l ∥ m$ and $\text{n}\perp\text{l},$ prove that $\text{n}\perp\text{m}.$
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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.
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