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Angle Bisector/Angle Addition Postulate Review

Total questions: 21

Worksheet time: 2hrs 55mins

Name
Class
Date
1.

Angle JHG measures 161.

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

2.

Find x.

a)

−3-3

b)

−6-6

c)

−8-8

d)

−10-10

3.
a)

44

b)

−3-3

c)

−5-5

d)

99

4.
a)

−2°-2\degree

b)

178°178\degree

c)

10°10\degree

d)

152°152\degree

5.

 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

6.

 BD→\overrightarrow{BD}  bisects  ∠ABC\angle ABC  ,  m∠ABD=5(x−6)m\angle ABD=5\left(x-6\right)   and  m∠DBC=2x+9m\angle DBC=2x+9 . Find  m∠DBCm\angle DBC . 

a)

 35°35\degree  

b)

 27°27\degree  

c)

 11°11\degree  

d)

 15°15\degree  

7.
If < ABC= 103⁰, find m< ABD
a)
45
b)
13
c)
57
d)
46
8.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
9.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
10.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
11.

∠K and ∠L are complementary angles.

If m∠K = (3x + 3)° and m∠L = (10x -- 4)°, find the measure of each angle.

a)

m∠K = 24° and m∠L = 66°

b)

m∠K = 66° and m∠L = 24°

c)

m∠K = 40° and m∠L = 50°

d)

m∠K = 30° and m∠L = 60°

12.

Find MK.

a)

6

b)

4

c)

14

d)

8

13.
Find AC
a)
7
b)
8
c)
22
d)
23
14.
Use the figure to write and solve an equation for x.
a)
5
b)
6
c)
7
d)
8
15.
Given that R is between S and T.
RS=6, TR=4.5, TS= ______
a)
1.5
b)
10.5
c)
6
d)
4.5
16.
D is the midpoint of EF.
ED = 4x + 6
DF = 7x -9
 Find EF.
a)
5
b)
26
c)
52
d)
22
17.

Line e is a segment bisector of AB at point M. If AM = 4n-40 & MB = 7(-2n+2), find the value of n.

a)

7

b)

3

c)

5

18.
Let B be between A and C.
a)
7
b)
24
c)
13
d)
14
19.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Combine Like Terms
20.

What degree is a Complementary Angle?

a)

90

b)

180

c)

360

d)

less than 90

21.

What degree is a Supplementary Angle?

a)

90

b)

less than 90

c)

greater than 180

d)

180