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Worksheets

G-CHAPTER 2 TEST 2024-2025

Total questions: 146

Worksheet time: 9hrs 45mins

Name
Class
Date
1.

Name the angle form by lines DE and EF in the long form.

a)

∠e

b)

∠f

c)

∠FED

d)

∠FDE

2.

Name the angle form by lines KL and ML in the long form.

a)

∠LMK

b)

∠KML

c)

∠KLM

3.

Name the angle form by lines XY and YZ in the long form.

a)

∠Y

b)

∠y

c)

∠XYZ

4.

∠STU is formed by Lines ______ and ______.

a)

S, T

b)

T, U

c)

SU, TU

d)

ST, UT

5.

Which is the vertex of the angle?

a)

X

b)

Y

c)

Z

6.

D is the vertex of the angle.

a)

True

b)

False

7.

Which is the vertex of the angle?

a)

E

b)

D

c)

F

8.

∠KML = ∠______

a)

m

b)

l

c)

k

9.

Name the vertex of the angle.

a)

S

b)

R

c)

Q

d)

S, R, and Q are vertices

10.

Name the vertex of the angle.

a)

E

b)

F

c)

D

d)

E, F, and D are vertices

11.
What is the correct definition of an angle? 
a)
one single ray
b)
two rays that meet at a single endpoint (vertex)
c)
two lines that never intersect
d)
two rays that go in opposite directions
12.
What is the correct definition of an angle? 
a)
one single ray
b)
two rays that meet at a single endpoint (vertex)
c)
two lines that never intersect
d)
two rays that go in opposite directions
13.
This angle is written as......
a)
 ∠ABC
b)
 ∠ACB
c)
∠BCA
d)
∠CAB
14.

What is the arrow pointing to in the angle?

a)

a ray

b)

geometry

c)

vertex

d)

line

15.
What does this represent?
a)
angle ABC
b)
triangle ABC
c)
arc ABC
d)
line ABC
16.

Name the vertex of the angle.

a)

S

b)

R

c)

Q

d)

S, R, and Q are vertices

17.

Choose the wrong name for the angle.

a)
b)
c)
d)
18.

Choose the wrong name for the angle.

a)
b)
c)
d)
19.

Choose the wrong name for the angle.

a)
b)
c)
d)
20.

Choose the wrong name for the angle.

a)
b)
c)
d)
21.

Name the vertex of the angle.

a)

S

b)

R

c)

Q

d)

S, R, and Q are vertices

22.

Name this angle



(a)  

23.

Name this angle

(a)  

24.

Name this angle

(a)  

25.

An angle is formed when two lines __________.

a)

meet at a point

b)

do not meet at a point

26.

This angle is known as ∠________.

a)

ABX

b)

BAX

c)

BXA

d)

XAB

27.

∠AXB is also known as ∠________.

a)

A

b)

p

c)

X

d)

B

28.
a)

120 degrees

b)

80 degrees

c)

100 degrees

d)

0 degrees

29.
a)

145 degrees

b)

155 degrees

c)

35 degrees

d)

0 degrees

30.
a)

20 degrees

b)

160 degrees

c)

180 degrees

d)

0 degrees

31.
a)

180 degrees

b)

125 degrees

c)

55 degrees

d)

65 degrees

32.

Fill in the blank. This angle measures (a)   degrees.

33.
a)

acute

b)

right

c)

obtuse

34.
a)

acute

b)

right

c)

obtuse

d)

none of the above

35.
a)

acute

b)

right

c)

obtuse

d)

none of the above

36.
a)

acute

b)

right

c)

obtuse

d)

none of the above

37.

What tool do we use to measure angles?

a)

Protractor

b)

Ruler

38.

The amount of the angle above is . . . .

a)

40o

b)

60o

c)

80o

d)

130o

39.

Find the angle above

a)

130o

b)

120o

c)

90o

d)

50o

40.

Find the angle above

a)

50o

b)

53o

c)

127o

d)

130o

41.

What is the measurement of this angle?

a)

165°

b)

15°

c)

135°

42.

What is the measurement of this angle?

a)

66°

b)

54°

c)

126°

d)

134°

43.

What is the measure of this angle?

(This is the angle you described in the previous question.)

a)

25 degrees

b)

35 degrees

c)

155 degrees

d)

165 degrees

44.

What is the measure of this angle?

a)

65

b)

66

c)

125

d)

54

45.

What is the measure of this angle?

a)

84

b)

104

c)

76

d)

101

46.
A point where two or more lines meet, a corner. HINT: You use this to name an angle!
a)
Parallel lines
b)
a vertex
c)
vertical lines
d)
transversal
47.
What is the measure of the following angle? 
a)
120 degrees.
b)
175 degrees.
c)
60 degres.
d)
5 degrees.
48.
What is the measure of the following angle?
a)
78 degrees.
b)
102 degrees.
c)
190 degrees.
d)
58 degrees. 
49.
Angles are measured using a ______.
a)
compass
b)
protractor
c)
ruler
d)
prospector
50.
What is the measure of the following angle?  
a)
21 degrees.
b)
34 degrees.
c)
70 degrees.
d)
172 degrees. 
51.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

52.

What type of angles are these? (select 2)

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

53.

Supplementary angles always add up to

(a)  

54.

Complementary angles always add up to

(a)  

55.

Select the following statements that make the given statement true:

Adjacent angles _____.

a)

share a common vertex

b)

must be complementary

c)

must be supplementary

d)

share a common side

e)

overlap to share points in the interior of the angles

56.

Select the statements that make the given statement true:

Linear pairs ____.

a)

must be adjacent angles

b)

must be supplementary

c)

must be complementary

d)

are angles that cannot share a common side

e)

are two angles whose non-common sides form a straight line

57.

Which angle is complementary to LJM\angle LJM  

a)

MJN\angle MJN  

b)

NJP\angle NJP  

c)

FGE\angle FGE  

d)

LJK\angle LJK  

58.

Which of the following angles is  90°90\degree  ?

a)

FGH\angle FGH  

b)

KJL\angle KJL  

c)

PJK\angle PJK  

d)

EGH\angle EGH  

59.
a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

60.

Which are pairs of adjacent angles?

a)

∠COB and ∠DOA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOC

61.

Find the measure of the complement of a 64º angle.

(a)  

62.

Find the measure of the complement of a 7º angle.

(a)  

63.

Find the measure of the supplement of a 153º angle.

(a)  

64.

Find the measure of the supplement of a 78º angle.

(a)  

65.

The measure of ABC=90°\angle ABC=90\degree . Find the value of x.

(a)  

66.

The measure of ABC=90°\angle ABC=90\degree . Find the value of x.

(a)  

67.

Line PR is a straight line. Find the value of m.

(a)  

68.

Line PR is a straight line. Find the value of m.

(a)  

69.

The diagram may not be drawn to scale.

The ratio a : b = 2 : 3 and mPQR=90m\angle PQR=90 .

Find the values of a and b.

70.

The diagram may not be drawn to scale.

The ratio a : b = 2 : 3 and line PR is a straight line.

Find the values of a and b.

71.

Determine whether the given pair of angles is complementary, supplementary, or neither.

mA =130°m\angle A\ =130\degree and mB=50°m\angle B=50\degree

a)

Complementary

b)

Supplementary

c)

Neither

72.

Determine whether the given pair of angles is complementary, supplementary, or neither.

mC =90°m\angle C\ =90\degree and mD=80°m\angle D=80\degree

a)

Complementary

b)

Supplementary

c)

Neither

73.

Determine whether the given pair of angles is complementary, supplementary, or neither.

mE =58°m\angle E\ =58\degree and mF=32°m\angle F=32\degree

a)

Complementary

b)

Supplementary

c)

Neither

74.

Determine whether the given pair of angles is complementary, supplementary, or neither.

mG =112°m\angle G\ =112\degree and mH=68°m\angle H=68\degree

a)

Complementary

b)

Supplementary

c)

Neither

75.
Solve for x
a)
5
b)
90
c)
25
d)
10
76.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
77.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary, 15
b)
Supplementary, 16
c)
Complementary, 18
d)
Supplementary, 19
78.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
79.
What is the relationship between angle 1 and 2?
a)
Supplementary
b)
Complementary
c)
Vertical
d)
Obtuse
80.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
81.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
82.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
83.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
84.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
85.
If ∠BPD and ∠DPC have a sum of 72°. What is ∠APC?
a)
18°
b)
90°
c)
108°
d)
180°
86.
What kind of angles are shown?
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
87.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
88.
What is an example of a pair of complementary angles?
a)
13° and 45°
b)
10° and 170°
c)
81° and 9°
d)
90° and 3°
89.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
90.
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
91.
a)
x = 56
b)
x = 66
c)
x = 156
d)
x = 166
92.
Identify the type of angle shown.
a)
Complementary
b)
Supplementary
93.
a)
15
b)
16
c)
18
d)
19
94.

Find the value of x

a)

14

b)

6

c)

36

d)

12

95.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

96.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

97.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

98.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

99.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

100.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

101.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

102.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

103.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

104.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

105.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

106.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

107.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

108.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

109.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

110.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

111.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

112.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

113.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

114.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

115.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

116.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

117.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

118.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

119.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

120.

SOLVE FOR X

a)

A

b)

B

c)

C

d)

D

121.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

122.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

123.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

124.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

125.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
126.

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

a)

17o

b)

34o

c)

68o

127.

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

a)

148o

b)

74o

c)

37o

128.

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

a)

7o

b)

14o

c)

28o

129.
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

130.
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
131.
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
132.

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°

133.

EJ \overrightarrow{EJ}\  bisects  DEF\angle DEFmDEJ=5x+7m\angle DEJ=5x+7  ,  mJEF=8x8m\angle JEF=8x-8 .
Find x.

a)

5

b)

2

c)

6

d)

13

134.

BD\overrightarrow{BD}  bisects ABC\angle ABCmABD=3x+5m\angle ABD=3x+5  and  mABC=2x+30m\angle ABC=2x+30 . Find  mDBCm\angle DBC  . 

a)

15°15\degree  

b)

35°35\degree  

c)

5°5\degree  

d)

20°20\degree  

135.
Find the measure of Angle NJZ
a)
50 degrees
b)
40 degrees
c)
38 degrees
d)
76 degrees
136.
Find HG
a)
28
b)
14
c)
41
d)
7
137.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
138.
Find x, then the measure of AC
a)
x=2, AC=8
b)
x=2, AC=16
c)
x=4, AC=8
d)
x=4, AC=16
139.

BE\overrightarrow{BE} bisects  ABC\angle ABCmABE=44°m\angle ABE=44\degree . Find  mCBE.m\angle CBE.  

a)

44°44\degree  

b)

22°22\degree  

c)

88°88\degree  

d)

Not enough information to answer

140.

PO\overrightarrow{PO} bisects  FPT\angle FPTmTPO=60°m\angle TPO=60\degree . Find  mFPO.m\angle FPO.  

a)

60°60\degree  

b)

30°30\degree  

c)

120°120\degree  

d)

40°40\degree  

141.

YR\overrightarrow{YR} bisects  XYZ\angle XYZmXYR=45°m\angle XYR=45\degree . Find  mXYZ.m\angle XYZ.  

a)

90°90\degree  

b)

45°45\degree  

c)

135°135\degree  

d)

27.5°27.5\degree  

142.

NO\overrightarrow{NO} bisects  MND\angle MNDmMND=160°m\angle MND=160\degree . Find  mMNO.m\angle MNO.  

a)

80°80\degree  

b)

160°160\degree  

c)

320°320\degree  

d)

40°40\degree  

143.

RT\overrightarrow{RT} bisects  FRY\angle FRYmFRY=220°m\angle FRY=220\degree . Find  mFRT.m\angle FRT.  

a)

110°110\degree  

b)

440°440\degree  

c)

90°90\degree  

d)

55°55\degree  

144.

GH\overrightarrow{GH} bisects  KGL\angle KGLmKGH=48°m\angle KGH=48\degree . Find  mKGL.m\angle KGL.  

a)

96°96\degree  

b)

48°48\degree  

c)

24°24\degree  

d)

130°130\degree  

145.

What is an angle bisector?

a)

A ray that is in the middle of an angle

b)

A ray that has the same endpoint as an angle

c)

Two rays that meet at the same point

d)

A part of a line without direction

146.

AF\overrightarrow{AF} bisects EAT\angle EATmEAF=24°m\angle EAF=24\degree and mEAT=(12x)°m\angle EAT=\left(12x\right)\degree . Find x.

a)

x = 4

b)

x = 2

c)

x = 8

d)

x = 3