When an obtuse angle, an angle greater than 90 but less than 180, is divided into two equal parts by a line called the angle bisector, each of the newly formed angles is acute. For example, if a 120 angle is bisected, the resulting two angles will each measure 60.
This fundamental geometric concept has significant applications in various fields. Understanding angle bisection is crucial in constructions, geometrical proofs, and trigonometric calculations. It forms the basis for understanding more complex geometric principles and plays a vital role in fields like architecture, engineering, and computer graphics. Historically, angle bisection has been a cornerstone of geometric study since ancient civilizations, contributing to the development of mathematical principles that are still used today.
