The perimeter of a triangle ABC is saix times the arithmetic mean of the sines of its angles. If the side `ai s1` then find angle `Adot`

Explanation

To solve the problem, we need to find angle A in triangle ABC given that the perimeter of the triangle is six times the arithmetic mean of the sines of its angles, and that side \( a = 1 \).

### Step-by-Step Solution:

1. **Understand the Given Information**:
- The perimeter of triangle ABC is given as \( P = a + b + c \).
- We know that \( a = 1 \).
- The arithmetic mean of the sines of the angles is given by \( \frac{\sin A + \sin B + \sin C}{3} \).
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