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Angle Bisectors

Total questions: 10

Worksheet time: 32mins

Name
Class
Date
1.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
2.

Angle ABC measures 34o. What is the measure of angle CBD?

a)

17o

b)

34o

c)

68o

3.

The measure of angle ABD is 74o. What is the measure of angle CBD?

a)

148o

b)

74o

c)

37o

4.

The measure of angle DBC is 14o. What is the measure of angle DBA?

a)

7o

b)

14o

c)

28o

5.
a)

m∠GHK=80.5,

m∠KHJ=161

b)

m∠GHK=161,

m∠KHJ=80.5

c)

m∠GHK=80.5,

m∠KHJ=80.5

d)

m∠GHK=161,

m∠KHJ=161

6.
a)
m∠SQP=29, m∠PQR=58
b)
m∠SQP=29, m∠PQR=29
c)
m∠SQP=58, m∠PQR=58
d)
m∠SQP=58, m∠PQR=29
7.
a)
m∠GHK=90, m∠KHJ=45
b)
m∠GHK=45, m∠KHJ=45
c)
m∠GHK=45, m∠KHJ=90
d)
m∠GHK=90, m∠KHJ=90
8.

AND find the measure of ∠ABD

a)

x=3/17 ∠ABD = 27°

b)

x=9 ∠ABD = 81°

c)

x=3 ∠ABD = 27°

d)

x= -3 ∠ABD = -27°

9.

 EJ→ \overrightarrow{EJ}\   bisects  ∠DEF\angle DEF ,  m∠DEJ=5x+7m\angle DEJ=5x+7  ,  m∠JEF=8x−8m\angle JEF=8x-8 .
Find x.

a)

5

b)

2

c)

6

d)

13

10.

 BD→\overrightarrow{BD}  bisects ∠ABC\angle ABC ,  m∠ABD=3x+5m\angle ABD=3x+5  and  m∠ABC=2x+30m\angle ABC=2x+30 . Find  m∠DBCm\angle DBC  . 

a)

 15°15\degree  

b)

 35°35\degree  

c)

 5°5\degree  

d)

 20°20\degree