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Triangle Sum Theorem and Exterior Angle Theorem

Total questions: 48

Worksheet time: 3hrs 38mins

Name
Class
Date
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.
Find the measure of the angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
3.
What is the third angle of a triangle whose 1st angle is 79 and the 2nd angle is 43?
4.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
5.
Solve for x.
6.
Solve for x THEN find the degrees for angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
7.
If all three angles are exactly the same measure, how big is each angle?
Hint:    x + x + x  = 180
a)
180 degrees
b)
90 degrees
c)
50 degrees
d)
60 degrees
8.
Angles that are exactly 90 degrees are called _____ ______.
a)
tight angles
b)
acute angles
c)
obtuse angles
d)
right angles
9.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
10.
Find the measure of the indicated angle. 
11.
Solve for x.
12.

Find the measure of angle A.

a)

75o

b)

60o

c)

30o

d)

38o

13.
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
14.
Which of the following terms best describes Angle d? 
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
15.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
19.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
20.
What is the missing angle?
a)
90°
b)
87°
c)
80°
d)
88°
21.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
22.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
23.
Find the measure of each angle indicated.
24.
Find the measure of each angle indicated.
25.
Find the measure of each angle indicated.
26.
Find the measure of each angle indicated.
27.
Find the measure of each angle indicated.
28.
Solve for x.
29.
Solve for x.
30.
Solve for x.
31.
Solve for x.
32.
Solve for x.
33.
Solve for x.
34.
How do you find the missing angle?
a)
124 + 77
b)
2(77)
c)
180 - 77
d)
124 - 77
35.
Find the measure of the indicated angle. 
36.

Interior angles of a triangle are ...

a)

inside a triangle and formed by two sides

b)

outside a triangle and formed by two rays

c)

inside a triangle on opposite sides

d)

inside and outside of a triangle

37.

Exterior angles of a triangle are ...

a)

outside a triangle and are formed by one side and an extension of an adjacent side

b)

inside a triangle and are formed by one side and an extension of an adjacent side

c)

outside a triangle and are formed by two sides

d)

outside a triangle and are formed by two angles

38.

Remote interior angles of a triangle are...

a)

inside a triangle and are not adjacent to the exterior angle

b)

inside a triangle and are adjacent to the exterior angle

c)

outside a triangle and are not adjacent to the exterior angle

d)

outside a triangle and are adjacent to the exterior angle

39.

The three interior angle measures of a triangle are: 9x + 4, 97 and 4x + 1. Solve for x.

a)

x = 6

b)

x = -6

c)

x = 58

d)

x = 25

40.

The three interior angle measures of a triangle are: 9x + 4, 97 and 4x + 1. What are the three measures of the triangle?

a)

97, 58, 25

b)

98, 57, 25

c)

97, 56, 26

d)

97, 50, 33

41.

The three interior angle measures of a triangle are: 5y + 3, 34 and 4y + 8. Solve for y.

a)

y = 15

b)

y = -15

c)

y = 68

d)

y = 78

42.

The three interior angle measures of a triangle are: 5y + 3, 34 and 4y + 8. What are the three angle measures of the triangle?

a)

34, 68, 78

b)

33, 68, 79

c)

34, 67, 79

d)

30, 60, 90

43.

The remote interior angles of a triangle are 6y - 4 and 6y. The exterior angle is 128. What is the value of y?

a)

y = 11

b)

y = -11

c)

y = 66

d)

y = 62

44.

The remote interior angles of a triangle are 6y - 4 and 6y. The exterior angle is 128. What is the measures of the two remote interior angles?

a)

66 and 62

b)

62 and 52

c)

66 and 52

45.

The remote interior angles of a triangle are 5y + 3 and 4y + 8. The exterior angle is 146. What is the value of y?

a)

y = 15

b)

y = -15

c)

y = 78

d)

y = 68

46.

The remote interior angles of a triangle are 5y + 3 and 4y + 8. The exterior angle is 146. What are the angle measures of the two remote interior angles?

a)

68 and 78

b)

68 and 34

c)

78 and 34

47.

The remote interior angles of a triangle are 4y - 4 and 3y. The exterior angle is 52. What is the value of y?

a)

y = 8

b)

y = -8

c)

y = 128

d)

y = 28

48.

The remote interior angles of a triangle are 4y - 4 and 3y. The exterior angle is 52. What is the measure of the two remote interior angles?

a)

24 and 28

b)

24 and 128

c)

28 and 128

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