1. The problem is about proving that all angles formed by bisectors of angles are equal. 2. When an angle is bisected, it is divided into two equal parts. This means each formed angle is exactly half of the original angle. 3. The formula to express this is: if the original angle is $\theta$, then each bisected angle is $\frac{\theta}{2}$. 4. It is important to mention "half" or "divided by 2" to clearly communicate that the bisector splits the angle into two equal parts. 5. Saying "the formed angles equal the big angle over 2" is mathematically precise and helps avoid ambiguity. 6. Therefore, mentioning the division by 2 is necessary for clarity and correctness in the proof. 7. In summary, always state that the bisected angles are $\frac{1}{2}$ of the original angle to make your argument clear and rigorous.