When an obtuse angle (an angle greater than 90 degrees but less than 180 degrees) is divided into two equal parts by a line called the angle bisector, the two newly formed angles are always acute. For example, a 120-degree angle bisected creates two 60-degree angles.
This fundamental geometric concept is crucial for various fields, including mathematics, engineering, architecture, and computer graphics. Understanding angle bisection enables precise constructions, accurate calculations of areas and volumes, and the creation of symmetrical designs. Historically, angle bisection has been essential for everything from land surveying and building construction in ancient civilizations to modern-day computer-aided design and manufacturing.