Learn How To Find The Angle Bisector And Angle Bisector Angles With These Simple Steps

angle bisector

a ray that divides an angle into 2 congruent angles

An angle bisector is a line, segment or ray that divides an angle into two equal parts. It can be drawn inside or outside of an angle, but it always passes through the vertex (common endpoint) of the angle.

To find the angle bisector of an angle, you can follow these steps:

1. Draw the angle
2. Place the compass at the vertex of the angle and draw an arc that intersects both sides of the angle
3. Without changing the compass setting, place the compass at the other endpoint of one of the sides and draw another arc that intersects the first arc
4. Draw a straight line from the vertex of the angle to the point where the two arcs intersect. This line is the angle bisector.

The angle bisector divides the angle into two smaller angles of equal measure, called angle bisector angles. The measure of each angle bisector angle can be calculated using the formula:

(angle bisector side) / (adjacent side) = (remaining side) / (other adjacent side)

Therefore, if the angle bisector divides an angle into two angles A and B, and the adjacent sides are a and b, and the remaining side is c:

A = (bc) / (a + b)
B = (ac) / (a + b)

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