# Use the figure below to answer question 1

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```					GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

Use the figure below to answer question 1.
(Not drawn to scale.) C
80 

60                      (x+10)
A
B

1.In triangle ABC shown above, mA  60 and mC  80 . The exterior angle at B measures  x  10  .
What is the value of x?

A.     30

B.     50

*    C.    130

D. 140

2. In the drawing AB CD , which pair of angles must be supplementary?

A     1      2                         3       B
4

5                     7
6   9                 8
C                                                  D

A. 1 and 9

B. 3 and 6

* C. 4 and 8

D. 5 and 7
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

Use the figure below to answer question 3.

R
S

140
U                            T

(Not drawn to scale.)

3. In parallelogram RSTU, what is the measure of R ?

* A.       40

B.     70

C. 140

D. 180

4. If 1 and 2 are vertical angles and are also complementary, what is the measure of 1 ?

A. 90

B. 89

C.    60

D. 45
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

5. Given the information in the drawing shown below, what is the measure of angle x?
l2        l1 l2
l1

115

x

A. 25

B. 56

* C.      65

D. 75

6. Based on the figure shown below, which one of the following must be false?

b
a                                     l1
c
e
d

l2

l3
l4

A. md  mb

B. md  90  mc

* C. me  90  md

D. ma  180  (mb  me)
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

Use the diagram below to answer question 7.
C                        D

70

A                     B                     E

7. What is the measure of angle ABC?

* A.             55

B.           70

C.           110

D.           145

8. The measures of 2 angles are 46 and 44 . These are examples of which type of angles?

A. vertical angles

B. a linear pair

C. supplementary angles

* D. complementary angles
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

Use the figure below to answer question 9.
C

A                               B                             D

(Not drawn to scale.)

9. If mABC is 33 , what is the measure of CBD ?

A.           57

B.           67

C.           142

* D.             147

Use the figure below to answer question 10.
T

R       45

a

I    b                c           80   L
G

100
N
50
(Not drawn to scale.)
A

10. TIL overlaps RAN . RIG is formed. What is the mc in RIG ?

A. 30

B. 55

C. 85

* D. 95
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

11. Angle A and angle B are a linear pair. Angle A has a measure of 36 degrees. What is the measure of angle
B?

A.     36

B.     54

* C. 144

D. 324

12. What is the measure of each interior angle of a regular decagon?

A.     36

B. 136

* C. 144

D. 154

Use the figure below to answer question 13.

B                         A

C                        (Not drawn to scale.)

13. Using the figure above, what is the measurement of  BAC?

A. 37°

B. 53°

* C. 62°

D. 65°
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

Use the figure below to answer question 14.

A                                   B                         D                        F

1       2                 3   4                  5

6
G            7             8    9                    10
12                                  K
11                 13                   14

Given: AF   GK
GB P D       RF
15
AR  AF
P 16

17
R

14. One pair of vertical angles is:

A. 8 and 9

B. 9 and 10

C. 5 and 17

* D. 8 and 13
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

15. The figure below shows the intersection of two sets of railroad tracks.

What is         ?
*      A.     37°
B.     53°
C.     127°
D.     143°

16. What is the value of x in the figure below?

A.   37.5
*        B.   42.5
C.   47.5
D.   62.5
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

Use the figure below to answer question 17.

17. A pole sits on level ground. The pole is leaning 7 to the left of vertical, as shown in the drawing. What is
the measure of 1 ?

* A.       83

B.     93

C.     97

D. 104

Use the figure below to answer question 18.

18. Which 2 angles in the regular hexagon above are supplementary?

A. 1 and 2

B. 1 and 5

C. 2 and 5

* D. 3 and 4
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

Use the figure below to answer question 19.

19. Line a and line b are parallel. Using the figure above, what is the measurement of 1 ?

* A.       40

B.     50

C. 130

D. 140

20. Ray AB is an angle bisector of FAC . Which statement must be true?

A. Angle FAB and BAC each measure 45°.

B. Angle FAB and BAC are
complementary angles.

C. Angle FAB and BAC are a linear pair.

* D. Angle FAB and BAC are congruent.
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines
21. What is the ratio of m 2 to m 3 ?

36
A.
36

144
B.
108

108
C.
36

144
* D.
36

22. Point M is located on AB . What is the value of x?

* A.             18

B.           36

C.           90

D.           180
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines
23. In the triangle below, angles A and B may be classified as what type of angles?

* A. complementary

B. supplementary

C. linear

D. right

24. Sara is making a shape with a piece of fabric. One corner is cut at an angle of 29 degrees. The angle at the
opposite corner forms the complementary angle. What is the measure of the angle in the opposite corner?

A.     29°

B.     58°

* C.       61°

D. 151°
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

25. In the figure below, lines BE, CG, and AD, as well as ray HF, intersect at point H.

Which pair of angles must be congruent?

* A. CHD and AHD

B. CHD and EHD

C. BHC and GHF

D. FHE and EHG
GEOMETRY LG.1.G.4
Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as
complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

26. In the figure below, line SZ  XG.

Which pair of angles are adjacent and complementary?

A.  XKS and  GKS

*    B.  XKY and  ZKY

C.  YKS and  ZKT

D.  XKZ and  GKS

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