what is angle bisector ???????? give example

Angle Bisector is a ray that divides an angle into two equal parts.

  • Angle bisector is also called the internal angle bisector.
  • Angle bisectors of a triangle intersect at a point called incenter of the triangle.
  • A line or a line segment can also be an angle bisector at times. For example, the angle bisectors of polygons are line segments.

Examples of Angle Bisector

  • In the example shown, OA is the angle bisector. It divides 60° into two equal parts (i.e. two 30°'s).

Solved Example on Angle Bisector

In the given figure, is the angle bisector of ∠AOB and is the angle bisector of ∠COB. If m∠AOC = 3y - 4 and m∠COD = 28, then find the value of y.

Choices:
A. 56°
B. 28°
C. 20°
D. 112°
Correct Answer: C
Solution:
Step 1: m∠COD = 28, so m∠BOC = 56, because is an angle bisector of ∠COB.
Step 2: m∠BOC = 56 implies that m∠AOC = 56, because bisects ∠AOB.
Step 3: So, 3y - 4 = 56 gives y = 20°.

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In geometry  the angle bisector theorem is concerned with the relative lenghts of the two segments that a

triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the

relative lengths of the other two sides of the triangle.

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In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a

triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the

relative lengths of the other two sides of the triangle...!

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angle bisector in simple words mean that a ray which divides any angle into 2 equal halves...

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Angle bisector is a simple ray going through an angle such that it divide the angle into two other angle and the both two angle are equal

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angle bisector is a straight line which separates an angle into two equual halves

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a line that bisects an angle into two equal parts is called an angle bisector.

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its a simple concept

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