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Special Angle Pairs (Parallel Lines Cut by a Transversal)

Total questions: 20

Worksheet time: 16mins

Name
Class
Date
1.

Which of the following are corresponding angles? Select all that apply.

a)

∠16 and ∠11

b)

∠9 and ∠3

c)

∠12 and ∠8

d)

∠5 and ∠6

e)

∠7 and ∠14

2.
What value of x proves that lines l and m are parallel?
a)
21
b)
23
c)
40
d)
57
3.

Given parallel lines e and f and transversal g, x= (a)   .

4.
Which of the following relationship proves that j is parallel to k?
a)
∠3 and ∠4 are supplementary
b)
∠4 and ∠5 are supplementary
c)
∠1 ≅ ∠3
d)
∠2 ≅ ∠3
5.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 
a)
16X+180 = 90
b)
12X - 19 = 4X +1
c)
12X - 19 + 4X +1=90
d)
12X - 19 + 4X +1=180
6.

Given parallel lines e and f and transversal g, x= (a)   .

7.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
8.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
9.

Are lines x and y parallel?

a)

Yes

b)

No

10.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
11.

See Picture

a)

x = 25

b)

x = 35

c)

x = 30

d)

x = 20

12.

x= (a)   .

13.

What is the measure of angle 3?

a)

There is not enough information to determine the measure of angle 3.

b)

79 degrees

c)

66 degrees

d)

114 degrees

14.

Determine the measure of angle EDA.

a)

There is not enough information to determine the measure of angle EDA.

b)

90 degrees

c)

23 degrees

d)

67 degrees

15.

What type of triangle is triangle DAB?

a)

Isosceles

b)

Equilateral

c)

Scalene

d)

There is not enough information

16.

Given line x is parallel to line y, determine the measure of angle 3.

a)

91 degrees

b)

90 degrees

c)

89 degrees

d)

There is not enough information to determine the measure of angle 3.

17.

In the diagram below,  EBED\overline{EB}\perp\overline{ED}  ,  \overline{AC}\cong\overline{BC} , and m∠A=69 degrees. Find m∠D.

a)

69 degrees

b)

48 degrees

c)

42 degrees

d)

There is not enough information

18.

In the diagram,  ECBC\overline{EC}\cong\overline{BC} and m∠ECD=138 degrees. Find m∠ABE.

a)

42 degrees

b)

21 degrees

c)

159 degrees

d)

There is not enough information

19.

In the diagram below,  EBDA\overline{EB}\perp\overline{DA}  ,  BD\overline{BD} bisects  EBC\angle EBC , and m∠A=34 degrees. Find m∠D.

a)

56 degrees

b)

28 degrees

c)

62 degrees

d)

There is not enough information

20.

In the diagram,  ABCD\overline{AB}\parallel\overline{CD}  ,  ADBC\overline{AD}\parallel\overline{BC}  ,  mABC=110°m\angle ABC=110\degree ,  mCDE=40°m\angle CDE=40\degree , and  mECB=42°m\angle ECB=42\degree  . Find  mDEC.m\angle DEC.  .

a)

110 degrees

b)

28 degrees

c)

70 degrees

d)

112 degrees