03+Angle+Bisectors

=Angle Bisectors= Summary: Angle bisectors are segments that divide an angle into two equal parts. This line passes through the vertex of the angle. In a triangle there are three angle bisectors, which are congruent. They meet at the incenter. An angle bisector intersects the opposite side of the triangle.

To solve this problem, first set 6x-9 equal to 5x+2. The answer is x=11. To solve this problem, we need to determine if AD is an angle bisector. If it is, than 4x-3 will be equal to 3x+10. You substiute 2 for x in both equations. Since you get different number, AD is not an angle bisector because the angles are not equal.
 * __Example Problems:__**


 * __Practice Problems__**



4) Find x and y from the following figure.

5) The ray bisects the angle //EFG//. Given that //m////EFG// = 120°, what are the measures of //EFH//and //HFG//?



1. The Incenter lies inside the triangle.
 * __Always Sometimes Never__**

2. The angle bisector bisects the line it intersects.

__**Answer:**__

1. Always

2.

3. x= 20 m**x = 12°, y = 20°

5.** //m////EFH// = //m////HFG// = = 60°. ASN 1. AT 2. ST

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