Similarities between angle bisector and perpendicular bisector:
Perpendicular bisector bisects a line segment into two equal parts at 90°.
Angle bisector bisects an creating two congruent angles
they both bisect into equal parts! =)
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the definition of an angle bisector is a line that divides an angle into two equal halves. So you need only invoke the definition to prove something is an angle bisector if you already know that the two angles are congruent.
The set of all points in a plane that are equidistant from the two sides of a given angle
23.6 degrees
23.5 degrees from the perpendicular.
The angle is a right angle.