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Angle Pair Relationships with Algebra Expressions

Total questions: 20

Worksheet time: 39mins

Name
Class
Date
1.
Find angle 1 if angle 2 = 36
a)
144
b)
54
c)
36
d)
154
2.
Find x
a)
12
b)
15
c)
9
d)
3
3.
Solve.
a)
63, 27
b)
63, 33
c)
5, 33
d)
30, 60
4.
Solve for x.
a)
10.5
b)
11.5
c)
34
d)
34.5
5.

Angle JHG measures 161.

a)

m∠GHK=80.5,

m∠KHJ=161

b)

m∠GHK=161,

m∠KHJ=80.5

c)

m∠GHK=80.5,

m∠KHJ=80.5

d)

m∠GHK=161,

m∠KHJ=161

6.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
7.

 BD→\overrightarrow{BD}  bisects  ∠ABC\angle ABC  ,  m∠ABD=5(x−6)m\angle ABD=5\left(x-6\right)   and  m∠DBC=2x+9m\angle DBC=2x+9 . Find  m∠DBCm\angle DBC . 

a)

 35°35\degree  

b)

 27°27\degree  

c)

 11°11\degree  

d)

 15°15\degree  

8.
1. Find X 
a)
28
b)
5
c)
55
d)
40
9.

If the  m∠1 = 57°,m\angle1\ =\ 57\degree,  find the measure of  ∠6.\angle6.  

a)

 123°123\degree  

b)

 57°57\degree  

c)

 180°180\degree  

d)

Cannot be determined

10.

Find the value of x if the  m∠1 = 11x − 9°m\angle1\ =\ 11x\ -\ 9\degree and the  m∠5 = 7x +9°m\angle5\ =\ 7x\ +9\degree .

a)

-4.5

b)

4.5

c)

1

d)

0

11.

When 2 parallel lines are cut by a transversal, which angle pairs produce supplementary angles? Select all that apply

a)

Alternate Interior and Alternate Exterior

b)

Same Side Interior and Same Side Exterior

c)

Corresponding

d)

Adjacent/Supplementary

e)

Vertical

12.

When 2 parallel lines are cut by a transversal, which angle pairs produce congruent angles? Select all that apply

a)

Alternate Interior and Alternate Exterior

b)

Same Side Interior and Same Side Exterior

c)

Corresponding

d)

Adjacent/Supplementary

e)

Vertical

13.
Find y.
a)
130
b)
50
14.

Solve for x & list how you found it

a)

32... Same Side Interior = 180

b)

32... Alternate Interiors = 180

c)

32... Corresponding angles are congruent

d)

-20... Alternate Interiors are equal

e)

-20... Same Side Interiors are =

15.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
16.
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
a)
43
b)
37
c)
143
d)
37
17.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
18.
What is the measure of ∠ABC?
a)
25°
b)
75°
c)
108°
d)
150°
19.
Solve for x
a)
x = 77
b)
x = 7.5
c)
x = 8
d)
x = 18
20.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10