Free Printable Triangle Angle Sum Theorem

1.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

2.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

3.

Solve for x.

a)

16

b)

11

c)

50

d)

6

4.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

5.

Find the measure of the indicated angle.

a)

34

b)

46

c)

62

d)

36

6.

Solve for the missing angle with the question mark.

a)

A

b)

B

c)

C

d)

D

7.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

8.

What is the value of x?

a)

38

b)

57

c)

76

d)

85

9.

Solve for x.

a)

A

b)

B

c)

C

d)

D

10.

Find the measure of the missing angles.

a)

A

b)

B

c)

C

d)

D

11.

Find the measure of the missing angle.

a)

30^o

b)

110^o

c)

150^o

d)

40^o

12.

Find the measure of each angle indicated.

a)

50

b)

55

c)

60

d)

70

13.

A triangle has one angle that measure 81° and one that measures 37°. What is the measure of the third angle?

a)

62°

b)

76°

c)

118°

d)

99°

14.

A triangle has one angle that measure 45° and one that measures 60°. What is the measure of the third angle?

a)

135°

b)

75°

c)

120°

d)

105°

15.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

16.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

17.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

18.

What is the measure of angle x?

a)

120 because they are supplementary

b)

60 because they are supplementary

c)

120 because they are congruent

d)

60 because they are congruent

19.

What is the measure of angle x?

a)

74 because they are congruent

b)

74 because they are supplementary

c)

106 because they are congruent

d)

106 because they are supplementary

20.

Which pair of angles add up to 180 degrees?

a)

A and W

b)

C and X

c)

D and X

d)

A and G

21.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

22.

If angle B measures 120 degrees, find the measure of angle Q.

a)

120 degrees

b)

-30 degrees

c)

60 degrees

23.

If angle P measures 60 degrees, what is the measure of angle C?

a)

60 degrees

b)

30 degrees

c)

120 degrees

24.

What types of angles are ∠1 and ∠4?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

d)

Vertical angles

25.

What types of angles are ∠1 and ∠5?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Linear Pair

d)

Vertical angles

26.

What types of angles are ∠1 and ∠8?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

d)

Vertical angles

27.

What types of angles are ∠4 and ∠5?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

d)

Vertical angles

28.

Which of the following angles is NOT congruent to ∠6?

a)

∠2

b)

∠7

c)

∠1

d)

∠3

29.

Identify the correct statement.

a)

∠A=82°

b)

∠A=98°

c)

∠A=180°

d)

∠A=8°

30.

What is the value of x?

a)

13

b)

6.2

c)

29.8

d)

39.4

31.

If ∠M and ∠O are supplementary angles and m∠M = 67°, find m∠O.

a)

83°

b)

23°

c)

113°

d)

133°

32.

If ∠X and ∠Y are complementary angles and m∠Y = 37°, find m∠X°.

a)

53°

b)

63°

c)

48°

d)

37°

33.

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.

34.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

35.

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

36.

Which angles are vertical angles?

a)

$\angle8\ \ and\ \angle7$

b)

$\angle8\ and\ \angle6$

c)

$\angle8\ and\ \angle5$

37.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

38.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

39.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

40.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

41.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Consecutive Interior Angles

d)

Corresponding Angles

e)

None of these

42.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

43.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

44.

3) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

45.

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

46.

5) True or False.

If the following parallel lines are cut by a transversal, would

\angle2

and

\angle6

be corresponding?

a)

True

b)

False

47.

6) Given the following two parallel lines that have been cut by a transversal.

Which two angles would be Alternate Exterior?

a)

\angle8

and

\angle2

b)

$\angle6$ and $\angle3$

c)

$\angle5$ and $\angle4$

d)

$\angle5$ and $\angle1$

48.

7) Given the following two parallel lines that have been cut by a transversal.

True or False, $\angle6$ and $\angle4$ are vertical angles?

a)

True

b)

False

49.

8) Given the following two parallel lines that have been cut by a transversal.

$\angle1$ and which angle make up Alternate Interior angles?

a)

\angle2

b)

$\angle6$

c)

$\angle5$

d)

$\angle3$

50.

9) Given the following two parallel lines that have been cut by a transversal.

Choose all the options that represent corresponding angles.

a)

\angle5

and

\angle3

b)

$\angle3$ and $\angle8$

c)

$\angle2$ and $\angle7$

d)

$\angle6$ and $\angle4$

51.

10)Given the two parallel lines cute by a transversal,

What is the measure of $\angle5$ ?

(a)

52.

11) Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$ if $m\angle8=76\degree$ ?

(a)

53.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

54.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

55.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

56.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

57.

Angles 4 and 6 are...

a)

supplementary

b)

congruent

58.

What relationship exists between angles 1 and 5

a)

Corresponding angles

b)

Supplementary angles

c)

Vertical angles

d)

Alternate Exterior Angles

59.

Find the measure of the angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

60.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

61.

What is the third angle of a triangle whose 1st angle is 79 and the 2nd angle is 43?

a)

43

b)

58

c)

72

d)

101

62.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

63.

Find the measure of the indicated angle.

a)

26

b)

36

c)

85

d)

144

64.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

65.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

66.

Solve for x

a)

70

b)

23

c)

120

d)

130

67.

Solve for x

a)

60

b)

120

c)

40

d)

65

68.

Find <S

a)

A

b)

B

c)

C

d)

D

69.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

70.

Find the value of x by using the exterior angle theorem.

a)

A

b)

B

c)

C

d)

D

71.

Are the triangles similar?

a)

Yes

b)

No

72.

Are the two triangles similar?

a)

Yes

b)

No

c)

Not Enough Information

73.

Are the two triangles similar?

a)

Yes

b)

No

c)

Not Enough Information

74.

Are the two triangles similar?

a)

Yes

b)

No

c)

Not Enough Information

75.

Are the two triangles similar?

a)

Yes

b)

No

c)

Not Enough Information

76.

Are the two triangles similar?

a)

Yes

b)

No

c)

Not Enough Information

77.

Are the two triangles similar?

a)

Yes

b)

No

c)

Not Enough Information

78.

Are the two triangles similar?

a)

Yes

b)

No

c)

Not Enough Information

79.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

80.

Find the measure of the indicated angle.

a)

145

b)

113

c)

102

d)

78

81.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

82.

Find the measure of the indicated angle.

a)

26

b)

36

c)

85

d)

144

83.

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

84.

If one angle is 43^o and another is 63.5^o, what is the missing angle?

a)

52^o

b)

74.5^o

c)

73.5^o

d)

100.5⁰

85.

Find x

a)

87

b)

180

c)

93

d)

25

86.

What is the third angle of a triangle if the 1st angle is 50, and the 2nd angle is 70?

a)

50

b)

60

c)

70

d)

80

87.

What is the third angle of a triangle whose 1st angle is 79 and the 2nd angle is 43?

a)

43

b)

58

c)

72

d)

101

88.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

89.

Find the measure of the missing angle.

a)

8^o

b)

58^o

c)

122^o

d)

64^o

90.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

91.

Find the measure of the missing angle.

a)

135^o

b)

35^o

c)

45^o

d)

30^o

92.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

93.

Find the measure of the indicated angle.

a)

89

b)

211

c)

119

d)

81

94.

a)

76°

b)

52°

c)

36°

d)

32°

95.

a)

35°

b)

60°

c)

85°

d)

95°

96.

a)

70°

b)

60°

c)

130°

d)

160°

97.

a)

50°

b)

85°

c)

90°

d)

95°

98.

a)

45°

b)

100°

c)

110°

d)

135°

99.

a)

45°

b)

90°

c)

135°

d)

315°

100.

What is a 3 sided polygon?

a)

angle

b)

triangle

c)

side

d)

tricycle

101.

The Triangle Sum Theorem states that the sum of the angles of a triangle equal how many degrees?

a)

90

b)

30

c)

150

d)

180

102.

What do we call a triangle with three equal sides

a)

scalene

b)

obtuse

c)

equilateral

d)

Pythagorean Theorem

103.

Which sets of measurements could be the interior angles of a triangle? Select ALL that apply

a)

15°, 15°, 150°

b)

10°, 90°, 100°

c)

30°, 30°, 115°

d)

10°, 80°, 90°

e)

60°, 60°, 60°

Triangle Angle Sum Theorem

Total questions: 103

Worksheet time: 4hrs 38mins

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