If l, m, n are three lines such that l // m and n is perpendicular to l, prove that n is perpendicular to m
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Answered by
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Provide the figure buddy,Then I can answer to your question,your question is incomplete I think.
Answered by
1
Step-by-step explanation:
Given : l, m, n are three lines such that l || m and n ⊥ l.
To prove: n ⊥ m
Proof :
Since, n ⊥ l
⇒ ∠1 = 90° ………….(1)
Now, l ‖ m and transversal intersects them.
∠2 = ∠1 ………(2)
Thus, the corresponding angles made by the transversal n with lines l and m are equal.
From eq (1) & (2) , we get ∠2 = ∠1 = 90°
⇒ ∠2 = 90°
Hence, n is perpendicular to m (n ⊥ m).
Figure of this answer is in the attachment below.
Hope this help you !
Attachments:
![](https://hi-static.z-dn.net/files/d84/5cd8ae81eae694d682044b4fff6dc80d.jpg)
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