There is no general reason. But before I can answer in more detail, what were you bisecting? A line, an angle, a polygon, some other shape?
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Only three types of angles can be formed by two intesecting lines. Obtuse, acute, and right.
two equal acute angles are formed.
A trapezoid has two right angles and one obtuse and one acute angle.
An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
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