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Triangle Angle Sum & Exterior

Total questions: 85

Worksheet time: 5hrs 2mins

Name
Class
Date
1.
What do the interior angles in a triangle have a sum of?
a)
180
b)
90
c)
360
d)
270
2.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
3.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
4.
Solve for x.
a)
-11
b)
-12
c)
-6
d)
11
5.
a)
x = 54
b)
x = 9
c)
x = 24
d)
x = 144
6.
What is the measure of angle b
a)
146
b)
34
c)
36
d)
136
7.
What is the measure of the unlabeled angle of the triangle?
a)
90*
b)
82*
c)
98*
d)
75*
8.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
9.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
10.
Which of the following angles are remote interior angles to angle d?
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
11.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
12.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
13.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
14.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
15.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
16.
Find the measure of angle x.
a)
138
b)
96
c)
93
d)
87
17.
Find the measure of each angle indicated.
a)
88
b)
30
c)
110
d)
85
18.
Find the measure of each angle indicated.
a)
48
b)
87
c)
35
d)
40
19.
Solve for x.
a)
6
b)
8
c)
15
d)
13
20.
What is the measure of angle A in the triangle?
a)
116*
b)
25*
c)
62*
d)
54*
21.

Find the measure of the missing angle.

a)

30o

b)

110o

c)

150o

d)

40o

22.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
23.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
24.
Which of the following angles can you add together to equal angle d? 
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
25.
Find the measure of the angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
26.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
27.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
28.
What is the measure of angle b
a)
146
b)
34
c)
36
d)
136
29.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

30.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

31.
Find the measure of each angle indicated.
a)
88
b)
30
c)
110
d)
85
32.
Find the measure of the indicated angle. 
a)
145
b)
113
c)
102
d)
78
33.
Solve for x.
a)
7
b)
9
c)
-11
d)
-6
34.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
35.
Find the measure of the indicated angle. 
a)
87 degrees
b)
82 degrees
c)
83 degrees
d)
72 degrees
36.
Find the measure of the indicated angle. 
a)
145 degrees
b)
24 degrees
c)
20 degrees 
d)
21 degrees
37.

What is the value of x?

a)

38

b)

57

c)

76

d)

85

38.
Which of the following angles can you add together to equal angle d? 
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
39.
Which of the following terms best describes Angle d? 
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
40.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
41.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
42.
What is the measure of angle x?
a)
45
b)
60
c)
65
d)
75
43.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
44.
Find the measure of angle x.
a)
138
b)
96
c)
93
d)
87
45.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
46.
What is the sum of interior angles of a triangle?
a)
60 degrees
b)
90 degrees
c)
180 degrees
d)
360 degrees
47.
a)
41°
b)
65°
c)
102°
d)
115°
48.

Two angles of a triangle add up to 65°. What is the measure of the third angle?

a)

25°

b)

55°

c)

115°

d)

295°

49.
Find the measure of the missing angle (?).
a)
95
b)
113
c)
76
d)
85
50.
Find the measure of the missing angle (?)
a)
60
b)
68
c)
49
d)
50
51.
Find the missing angle
a)
112
b)
96
c)
146
d)
46
52.
a)
47
b)
57
c)
53
d)
133
53.
Find the measure of the missing angle.
a)
47
b)
57
c)
53
d)
133
54.
Find the measure of the missing angle.
a)
145
b)
55
c)
35
d)
45
55.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
56.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
57.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
58.
Solve for x
a)
20
b)
25
c)
120
d)
180
59.
Solve for x
a)
6
b)
140
c)
20
d)
90
60.
Solve for x
a)
5
b)
10
c)
25
d)
85
61.
Solve for the missing angle with the question mark. 
a)
A
b)
B
c)
C
d)
D
62.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
63.
Find the measure of the indicated angle. 
a)
40
b)
108
c)
72
d)
68
64.

Will these line segments form a triangle?

a)

yes

b)

no

65.

Which set of side lengths will form a triangle?

a)

3, 6, 12

b)

7, 7, 14

c)

9, 9, 9

d)

13, 6, 7

66.

If angle A is 45 degrees, angle B is 45 degrees, and line AB is 5 cm, how many triangles can you create?

a)

Only 1 unique triangle

b)

Multiple triangles

c)

No triangles

67.

Given three angle measures, how many triangles can you create?

a)

One unique triangle

b)

Multiple triangles

c)

No triangles

68.

How many triangles can be created with the side lengths of 3 cm, 4cm, and 5 cm?

a)

Only 1 unique triangle

b)

multiple triangles

c)

no triangles

69.

How many triangles exist with the following angle measures?

100°, 100°, 50°

a)

No triangle exists with the given angle measures.

b)

More than one triangle exists with the given angle measures.

c)

Exactly one unique triangle exists with the given angle measures.

70.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
71.

Which of the following sets of angles DO make a triangle?

a)

80, 40, 55

b)

38, 64, 75

c)

41, 56, 83

d)

25, 89, 40

72.

Which of the following sets DO NOT make a triangle?

a)

60, 60, 60

b)

55, 65, 45

c)

45, 90, 45

d)

75, 40, 65

73.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
74.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
75.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
76.
What is the measure of angle b
a)
146
b)
34
c)
36
d)
136
77.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
78.
a)
x = 54
b)
x = 9
c)
x = 24
d)
x = 144
79.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
80.
Which of the following angles can you add together to equal angle d? 
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
81.
Find the measure of each angle indicated.
a)
48
b)
87
c)
35
d)
40
82.
Find the measure of angle x.
a)
138
b)
96
c)
93
d)
87
83.

What is the value of the missing angle?

a)

90

b)

100

c)

20

d)

120

84.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
85.
Solve for x.
a)
6
b)
8
c)
15
d)
13