In three line segments `O A ,O Ba n dO C ,` point `L ,M ,N` respectively are so chosen that `L M A Ba n dM N B C` but neither of `L ,M ,N` nor of `A , B , C` are collinear. Show that `L N A Cdot`

Explanation

To prove that \( LN \parallel AC \), we will use the properties of similar triangles. Here’s a step-by-step solution:

### Step 1: Identify the Triangles
We have two triangles: \( \triangle OAB \) and \( \triangle OLM \). We know that \( LM \parallel AB \).

**Hint:** Identify the triangles clearly and note the parallel lines.

### Step 2: Establish Corresponding Angles
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