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Angle Bisector Practice (Les 1-4)

Total questions: 14

Worksheet time: 2hrs 20mins

Name
Class
Date
1.

Which ray is the bisector of ∠AOC\angle AOC  ?  (with the correct symbol)


a)

 OB→\overrightarrow{OB}  

b)

 OC→\overrightarrow{OC}  

c)

 BO→\overrightarrow{BO}  

d)

 OB‾\overline{OB}  

2.

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

a)

7o

b)

14o

c)

28o

3.

If KM→\overrightarrow{KM}  bisects  ∠LKJ\angle LKJ  and  m∠JKM=22°m\angle JKM=22\degree  find  m∠LKMm\angle LKM  .


a)

22

b)

44

c)

11

d)

68

e)

not enough information given

4.
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
5.

Suppose the given figure is changed such that AC is an angle bisector and the m∠BAC = 38.

What would be the m∠BAD ?

a)

38

b)

52

c)

76

d)

142

6.

In the figure, BA and BC are opposite rays.

BH bisects ∠EBC.

If m∠EBH = 6x-20 and m∠HBC = 8x-30, then which of the following is the correct equation to find the value of x?

a)

6x-20 = 8x-30

b)

2(6x-20) = 8x-30

c)

6x-20 = 2(8x-30)

7.

In the figure, BA and BC are opposite rays.

BH bisects ∠EBC.

If m∠EBC = 31a-2 and m∠EBH = 4a+45, then which of the following is the correct equation to find the value of x?

a)

2(4a+45) = 31a-2

b)

4a+45 = 31a-2

c)

4a+45 = 2(31a-2)

8.

In the figure, BA and BC are opposite rays.

BE bisects ∠ABF.

If m∠ABE = 2n+7 and m∠EBF = 4n-13, then which of the following is the correct equation to find the value of x?

a)

2n+7 = 4n-13

b)

2(2n+7) = 4n-13

c)

2n+7 = 2(4n-13)

9.

In the figure, BA and BC are opposite rays.

BE bisects ∠ABF.

If m∠ABF = 7b-24 and m∠ABE = 2b, then which of the following is the correct equation to find the value of x?

a)

7b-24 = 4b

b)

7b-24 = 2b

c)

2(7b-24) = 2b

10.

In the figure, BA and BC are opposite rays.

BE bisects ∠ABF.

If m∠ABE = 2s+22 and m∠ABF = 8s-6, then which of the following is the correct equation to find the value of x?

a)

2(2s+22) = 8s-6

b)

2s+22 = 2(8s-6)

c)

2s+22 = 8s-6

11.

In the figure, BA and BC are opposite rays.

BE bisects ∠ABF.

If m∠ABE = 5x+9 and m∠EBF = 4x+8, find the value of x.

a)

x = -1

b)

x = 1

c)

x = -1.666

d)

x = -2.333

12.

In the given figure, CD and CB are opposite rays and CE bisects ∠DCF. Find the value of x if m∠DCE = 4x+15 and m∠DCF = 110.

a)

10

b)

23.75

c)

51.25

d)

20

13.

In the given figure, CD and CB are opposite rays and CG bisects ∠FCB. Find the value of x if m∠FCG = 9x+3 and m∠GCB = 30.

a)

3

b)

1.3333

c)

6.3333

d)

6

14.

In the figure, XA and XE are opposite rays and ∠AXC is bisected by XB. Find the value of x and then find the m∠AXC if m∠AXC = 8x-7 and m∠AXB = 3x+10.

a)

x = 13.5 ------------- m∠AXC = 101

b)

x = 13.5 ------------- m∠AXC = 50.5

c)

x = 3.4 ------------- m∠AXC = 20.2

d)

x = 3.4 ------------- m∠AXC = 40.4