PARTNER PAIRS
P
P
Angle
42°
(8x + 10)°
P
64°
Pairs
(5x + 1)°
P
PARTNER PAIRS
P
Partner Pairs!
P
ANGLE PAIRS
Partner 1 solves for x in column 1. Partner 2 solves for x in column 2. Then, partners will compare answers.
If the answers do not match, find the error. Help each other to achieve the same correct answer.
Partner 1
(4x + 8)°
124°
Correct Answers
Partner 2
(5x + 2)°
118°
62°
64°
(4x + 8)°
55°
(4x - 1)°
42°
(5x + 1)°
(6x + 5)°
89°
36°
(8x + 10)°
(10x - 4)°
∠ABC ≅ ∠DEF
∠RST ≅ ∠LMN
If m∠ABC = 115° and
m∠DEF = (12x + 7)°,
what is the value of x?
If m∠RST = 111° and
m∠LMN = (13x - 6)°,
what is the value of x?
Partner 1
(9x + 3)°
(2x + 1)°
Correct Answers
Partner 2
(4x + 2)°
(8x - 7)°
(7x + 9)°
(3x + 1)°
(4x + 1)°
(12x + 4)°
(9x + 22)°
(6x + 2)°
(6x + 16)°
∠JKL ≅ ∠FGH
If m∠JKL = (24x + 3)° and
m∠FGH = (26x - 1)°, what
is the value of x?
(8x - 10)°
(16x - 7)°
(9x + 7)°
ANGLE PAIRS
(6x + 18)°
(11x + 8)°
∠QRS ≅ ∠TUV
If m∠QRS = (8x + 3)° and
m∠TUV = (12x - 5)°, what
is the value of x?
P
Partner Pairs!
P
P
Partner Pairs!
P
ANGLE PAIRS
Partner 1 solves for x in column 1. Partner 2 solves for x in column 2. Then, partners will compare answers.
If the answers do not match, find the error. Help each other to achieve the same correct answer.
Partner 1
Correct Answers
Partner 2
12
(4x + 8)°
124°
5
62°
(4x + 8)°
55°
(5x + 2)°
118°
(4x - 1)°
42°
(8x + 10)°
14
4
(6x + 5)°
89°
36°
(10x - 4)°
∠ABC ≅ ∠DEF
If m∠ABC = 115° and
m∠DEF = (12x + 7)°,
what is the value of x?
64°
(5x + 1)°
∠RST ≅ ∠LMN
9
If m∠RST = 111° and
m∠LMN = (13x - 6)°,
what is the value of x?
Partner 1
(9x + 3)°
(2x + 1)°
(8x - 7)°
Correct Answers
16
Partner 2
(4x + 2)°
(7x + 9)°
8
(3x + 1)°
(4x + 1)°
(12x + 4)°
(9x + 22)°
6
(6x + 2)°
3
∠JKL ≅ ∠FGH
If m∠JKL = (24x + 3)° and
m∠FGH = (26x - 1)°, what
is the value of x?
ANGLE PAIRS
(8x - 10)°
(16x - 7)°
(9x + 7)°
(6x + 16)°
(6x + 18)°
(11x + 8)°
∠QRS ≅ ∠TUV
2
If m∠QRS = (8x + 3)° and
m∠TUV = (12x - 5)°, what
is the value of x?
P
Partner Pairs!
P
NAME________________________________
Angle Pairs
DATE________________
Solve for x for each problem. Figures shown are NOT drawn to scale.
Problems
1.
(3x + 8)°
112°
2.
61°
(2x + 9)°
3.
59°
(4x - 1)°
4.
58°
(8x + 10)°
5.
∠ABC ≅ ∠DEF
If m∠ABC = 115° and
m∠DEF = (5x + 10)°,
what is the value of x?
Show All Work!
Problems
6.
(5x + 2)°
108°
7.
67°
(2x + 1)°
8.
(6x + 5)°
83°
9.
36°
(8x - 4)°
10.
∠RST ≅ ∠LMN
If m∠RST = 115° and
m∠LMN = (5x - 20)°,
what is the value of x?
ANGLE PAIRS
Show All Work!
Problems
11.
(6x + 3)°
(2x + 1)°
12.
(5x - 7)°
(3x + 1)°
13.
(15x + 4)°
(12x + 22)°
14.
(9x + 7)°
(6x + 16)°
15.
∠JKL ≅ ∠FGH
If m∠JKL = (24x + 3)° and
m∠FGH = (26x - 1)°, what
is the value of x?
ANGLE PAIRS
Show All Work!
Problems
16.
(4x + 2)°
(6x + 18)°
17.
(7x + 9)°
(3x + 1)°
18.
(8x - 10)°
(6x + 2)°
19.
(16x - 7)°
(11x + 8)°
20.
∠QRS ≅ ∠TUV
If m∠QRS = (8x + 3)° and
m∠TUV = (12x - 5)°, what
is the value of x?
ANGLE PAIRS
Show All Work!
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NAME________________________________
Quiz
Please Show All Work For Credit!
DATE________________
D
Use the figure right for Exercises 1 - 2.
1) Name a linear pair.
F
E
___________________________
G
C
2) Name a pair of vertical angles.
___________________________
N
Use the figure right for Exercises 3 - 4.
3) Find m∠JKM.
P
m∠JKM = ____________
62°
J
4) Find m∠PKN.
K
L
m∠PKN = ____________
M
C
Use the figure right for Exercise 5.
D
5) Find the value of x and m∠ABD.
x = ____________
m∠ABD =____________
3x°
(5x - 6)°
A
B
Use the information given for Exercise 6.
6) Find the complement and the supplement of a 28° angle.
____________
____________
complement
supplement
1
NAME________________________________
Quiz
Please Show All Work For Credit!
DATE________________
G
Use the figure right for Exercises 1 - 2.
1) Name a linear pair.
D
C
___________________________
E
F
2) Name a pair of vertical angles.
___________________________
N
Use the figure right for Exercises 3 - 4.
3) Find m∠JKM.
P
m∠JKM = ____________
61°
J
4) Find m∠PKN.
K
L
m∠PKN = ____________
M
C
Use the figure right for Exercise 5.
D
5) Find the value of x and m∠ABD.
x = ____________
m∠ABD =____________
3x°
(4x - 1)°
A
B
Use the information given for Exercise 6.
6) Find the complement and the supplement of a 18° angle.
____________
____________
complement
supplement
1
NAME________________________________
Quiz
Please Show All Work For Credit!
DATE________________
D
Use the figure right for Exercises 1 - 2.
∠EFD and ∠DFG
1) Name a linear pair.
2) Name a pair of vertical angles.
F
E
∠EFC and ∠CFG
∠EFD and ∠EFC
G
C
∠DFG and ∠CFG
∠EFD and ∠CFG
∠EFC and ∠DFG
N
Use the figure right for Exercises 3 - 4.
3) Find m∠JKM.
P
m∠JKM = 118°
62°
J
4) Find m∠PKN.
K
L
m∠PKN = 28°
M
C
Use the figure right for Exercise 5.
D
5) Find the value of x and m∠ABD.
x = 12
3x°
(5x - 6)°
m∠ABD = 54°
B
A
Use the information given for Exercise 6.
6) Find the complement and the supplement of a 29° angle.
61°
151°
____________
____________
complement
supplement
1
Name_______________________________ Pd__________ Date_______________
Exploring Angle Pairs
Find each correct answer.
1)
2)
3)
4)
5)
∠ABC and ∠CBD and complementary. If m∠ABC = 33°, what is m∠CBD?
A
147°
B
137°
C
67°
D
57°
EM bisects ∠DEF. If m∠DEM = 46°, what is m∠DEF?
A
92°
B
46°
C
44°
D
23°
Name a pair of vertical angles in the figure below.
A
∠FBG and ∠GBC
B
∠ABF and ∠CBD
C
∠DBC and ∠CBG
D
∠AFB and ∠BCD
G
C
F
B
D
A
Name a pair of supplementary angles in the figure below.
A
∠3 and ∠4
B
∠1 and ∠5
C
∠2 and ∠5
D
∠1 and ∠4
4
3
2
1
Find m∠UNV in the figure below.
A
127°
B
53°
C
37°
D
27°
5
P
N
U
Y
53°
V
W
1
Find each correct answer.
6)
7)
8)
9)
10)
Find m∠JKL in the figure below.
A
77°
B
64°
C
26°
D
13°
H
J
2x°
(3x + 25)°
K
L
The measure of one angle is 5 times the measure of its
supplement. Find the measure of each angle.
A
15° and 75°
B
25° and 125°
C
30° and 150°
D
40° and 140°
Find m∠QRT in the figure below.
A
81°
B
77°
C
66°
(2x + 33)°
D
60°
Q
T
(5x - 21)°
R
S
In the figure below, determine which statement is true.
A
∠5
≅
∠6
B
∠6
≅
∠8
C
∠7
≅
∠8
D
∠8 ⊥ ∠5
6
7
5
8
In the figure below, determine which statement is true.
A
∠1 + ∠2 = 90°
B
∠1 + ∠3 = 180°
C
∠1 + ∠4 = 90°
D
∠2 + ∠3 = 180°
1
4
2
3
1
Exploring Angle
Pairs
1) D
2) A
3) B
4) B
5) C
6) B
7) C
8) A
9) B
10) D
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