Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.

Explanation

To prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio, we can follow these steps:

### Step-by-Step Solution:

1. **Draw Triangle and Parallel Line**:
Let triangle ABC be given, with DE drawn parallel to BC, intersecting AB at point D and AC at point E.

2. **Identify Angles**:
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