The side `B C` of a`A B C` is produced on both sides. Show that the sum of the exterior angles so formed is greater than `/_A` by two right angles.

Explanation

To solve the problem, we need to show that the sum of the exterior angles formed by extending side BC of triangle ABC is greater than angle A by two right angles (or 180 degrees). Let's denote the angles formed by the extensions as angle 4 and angle 5.

### Step-by-Step Solution:

1. **Identify the Angles**:
- Let angle A be the angle at vertex A of triangle ABC.
- When side BC is extended to both sides, we create two exterior angles: angle 4 (formed at point B) and angle 5 (formed at point C).

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