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Worksheets

Parallel Lines and Triangles

Total questions: 55

Worksheet time: 2hrs 50mins

Name
Class
Date
1.

Which of the following represents a pair of alternate interior angles?

a)
b)
c)
2.

Which of the following represents a pair of alternate exterior angles?

a)
b)
c)
3.

Which of the following represents a pair of corresponding angles?

a)
b)
c)
4.

Which of the following pairs of angles are corresponding angles?

a)

∠1 and ∠2

b)

∠1 and ∠4

c)

∠2 and ∠5

d)

∠5 and ∠8

5.

Which of the following pairs of angles are supplementary angles?

a)

∠1 and ∠2

b)

∠1 and ∠4

c)

∠2 and ∠5

d)

∠5 and ∠8

6.
What is the relationship of the angles?
a)
Corresponding angles
b)
Consecutive Interior
c)
Alternate Interior
d)
Alternate Exterior
7.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
8.

If m∠6 = 50o then m∠4 =

a)

50o

b)

90o

c)

130o

d)

360o

9.
Find x.
a)
130
b)
50
10.
Find L
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
11.

If angle 1 has a measure of 135o, then m∠2 =

a)

90o

b)

135o

c)

45o

d)

65o

12.
Find the value of x. 
a)
x = 133
b)
x = 47
13.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
b)
Alternate Interior
143
c)
Corresponding
143
d)
Corresponding
37
14.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
15.
Which pair of angles are congruent?
a)
A and C
b)
C and L
c)
B and W
d)
D and W
16.
Find D
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
17.

1\angle1  corresponds with which of the following angles?

a)

5\angle5  

b)

6\angle6  

c)

2\angle2  

d)

8\angle8  

18.

Which angle corresponds with 2\angle2  ?

a)

1\angle1  

b)

6\angle6  

c)

7\angle7  

d)

5\angle5  

19.

Which angle corresponds with  7\angle7  ?

a)

1\angle1  

b)

2\angle2  

c)

3\angle3  

d)

4\angle4  

20.

Which angle corresponds with  8\angle8  ?

a)

5\angle5  

b)

2\angle2  

c)

3\angle3  

d)

4\angle4  

21.

Which angle is the alternate exterior of  2\angle2  ?

a)

7\angle7  

b)

8\angle8  

c)

1\angle1  

d)

4\angle4  

22.

Which angle is the alternate exterior of  8\angle8  ?

a)

1\angle1  

b)

2\angle2  

c)

4\angle4  

d)

7\angle7  

23.

Which angle is the alternate interior of  4\angle4  ?

a)

3\angle3  

b)

6\angle6  

c)

5\angle5  

d)

8\angle8  

24.

Which angle is the alternate interior of  6\angle6  ?

a)

4\angle4  

b)

3\angle3  

c)

2\angle2  

d)

1\angle1  

25.

Which angle is vertical of  4\angle4  ?

a)

1\angle1  

b)

3\angle3  

c)

8\angle8  

d)

7\angle7  

26.

Which angle is vertical of 3\angle3  ?

a)

2\angle2  

b)

4\angle4  

c)

1\angle1  

d)

7\angle7  

27.

The degree measure of a straight line is _______

a)

90°90\degree

b)

180°180\degree

c)

1°1\degree

d)

0°0\degree

28.

All of the angles of a triangle add up to _______

a)

3°3\degree

b)

90°90\degree

c)

180°180\degree

d)

10°10\degree

29.

Corresponding angles __________________

a)

are congruent

b)

add up to 180°180\degree

c)

add up to 360°360\degree

d)

none of these

30.

What is the measure of angle 7?

a)

115°115\degree

b)

65°65\degree

c)

180°180\degree

d)

125°125\degree

31.

What is the measure of angle 8?

a)

115°115\degree

b)

65°65\degree

c)

125°125\degree

d)

180°180\degree

32.

Vertical angles are ___________

a)

congruent(the same)

b)

NOT congruent

c)

supplementary

d)

none of these

33.

Supplementary angles ________________

a)

add to 180°180\degree

b)

add to 90°90\degree

c)

are ALWAYS congruent

d)

none of these

34.

What is the measure of angle QSR?

a)

46°46\degree  

b)

64°64\degree  

c)

88°88\degree  

d)

36°36\degree  

35.

What is the measure of angle Q?

a)

48°48\degree  

b)

46°46\degree  

c)

56°56\degree  

d)

45°45\degree  

36.

What is the measure of angle ACB?

a)

47°47\degree  

b)

56°56\degree  

c)

46°46\degree  

d)

45°45\degree  

37.

The highlighted angles shown are ______ because they are ________

a)

congruent; vertical

b)

supplementary; adjacent

c)

congruent; corresponding

d)

supplementary; vertical

38.

The highlighted angles are _________ because they are _______

a)

supplementary; adjacent

b)

congruent; vertical

c)

congruent; corresponding

d)

none of these

39.
Two angles are complementary if the sum of their angles is 180o
a)
True
b)
False
40.
Two angles are suppplementary if the sum of their angles is 180o
a)
True
b)
False
41.
 Complementary angles measures _____ degrees.
a)
45
b)
180
c)
90
d)
30
42.
Identify the type of angle shown.
a)
Complementary
b)
Supplementary
43.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
44.
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
45.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
46.
Solve for x
a)
20
b)
25
c)
120
d)
180
47.
Solve for x
a)
5
b)
90
c)
25
d)
10
48.
a)
47
b)
57
c)
53
d)
133
49.
a)
47
b)
57
c)
53
d)
133
50.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
51.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5
52.
Solve for x.
a)
-8
b)
-4
c)
-6
d)
-10
53.
Solve for x.
a)
-5
b)
8
c)
9
d)
5
54.
a)
145
b)
55
c)
35
d)
45
55.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45