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ANGLE BISECTORS. (Chapter 2.2). VOCABULARY. Angle Bisector: a ray that divides an angle into two congruent angles. D. A. 110. B. C. BD bisects ABC, and m ABC = 110. Therefore, the m ABD and m BDC is half of m ABC. 110. m. ABD and m. BDC. =. 55. is 55. 2. - PowerPoint PPT Presentation
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ANGLE BISECTORS
(Chapter 2.2)
VOCABULARY
• Angle Bisector: a ray that divides an angle into two congruent angles
110
A
B C
D
BD bisects ABC, and m ABC = 110.
Therefore, the m ABD and m BDC is half of m ABC.110
2 = 55m ABD and m BDC
is 55.
EXAMPLE #1
m GHJ = 52 HK is the angle bisector.
m GHK = m JHK =&26 26
EXAMPLE #2
m GHJ = 90 HK is the angle bisector.
m GHK = m JHK =&45 45
EXAMPLE #3
m GHJ = 161 HK is the angle bisector.
m GHK = m JHK =&80.5 80.5
Finding Angle Measures and
Classifying Angles
m
m
m
LMP
NMP
LMN
MP bisects LMN
46
46
92
obtuse
m
m
m
RQS
PQS
PQR
QS bisects PQR
29
29
58
acute
m
m
m
RQS
PQS
PQR
QS bisects PQR
45
45
90
right
m
m
m
RQS
PQS
PQR
QS bisects PQR
60
60
120
obtuse
RQ bisects PRS. Find the value of x.6x + 1 = 85
-1 -16x = 84
6x = 846 6x = 14
9x = 8x + 3-8x -8x
x = 3
x + 12 = 55-12 -12
x = 43
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