If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.

Explanation

To prove that if each angle of a triangle is less than the sum of the other two, then the triangle is acute-angled, we can follow these steps:

### Step-by-Step Solution:

1. **Define the Angles of the Triangle**:
Let the angles of triangle ABC be denoted as ∠A, ∠B, and ∠C.

2. **State the Given Condition**:
...