A body cools down from `52.5^(@)`C to `47.5^(@)C` in 5 min and to `42.5^(@)`C in 7.5 min. Find the temperature of the surroundings.

Explanation

To find the temperature of the surroundings (θ₀) using Newton's law of cooling, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Initial temperature (T₁) = 52.5°C
- First cooling temperature (T₂) = 47.5°C after time (t₁) = 5 minutes
- Second cooling temperature (T₃) = 42.5°C after time (t₂) = 7.5 minutes
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