Question

Prove that two lines that are respectively perpendicular to two intersecting lines intersect each other.

Answer 1

Figure is in the attachment.
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Given: Let n & p be two intersecting lines.

Let l ⊥ n & m ⊥ p.

To prove: l & m will intersect.

Proof:

Let n and P be two intersecting lines.
Let us assume that l and m do not intersect.

Now l ⊥ n. [ given]
I || m [ by assumption]

Therefore, m ⊥n ......(1)

And , m ⊥p ....,..(2)

From 1 &2 we have n||p which is wrong since n & p intersect. [ Given]

Hence our assumption is wrong .

l & m intersect .
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Hope this will help you......

Answer 2

Answer:

this is the answer of this question