Name: ________________________ DATE: ______________ HOUR: ________
WORD:
DEFINITION
EXAMPLE OR DRAWING
Right Angle
Acute Angle
Obtuse Angle
Complementary Angles
Supplementary Angles
Congruent Angles
Adjacent
Vertical Angles
Linear Pair
Angle Bisector
19
Example Problems:
______________ 1) Name a pair of supplementary angles
______________ 2) Name a pair of complementary angles
4
2
1
3
______________ 3) If <1 = 28; find <2
___________________________________________________________________________
______________ 4) What type of angles are shown?
______________ 5) Solve for x.
2x + 6
4x
___________________________________________________________________________
______________ 6) What type of angles are shown?
______________ 7) Solve for x.
2x + 6
3x +14
___________________________________________________________________________
______________ 6) Solve for x.
______________ 7) Solve for y.
36
72
y
(4x)
8) Two angles are complementary and one measures 20 more than the other. Find the measure of
the larger angle.
Small x = __________
Large _________ = ______
______ + ___________ = _________
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Pairs of Angles
Name ______________________
Date _____________ Period____
In the diagram, ABC is a right angle. Name the angles described.
1.
2.
3.
4.
5.
6.
A different right angle.
Two complementary angles.
Two congruent supplementary angles
Two noncongruent supplementary angles.
Two acute vertical angles.
Two obtuse vertical angles.
C
E
A


B

D

F
Find the value of the variables.
7.
8.
9.
(3x-5)
(5x-20)
y
70
(3x+8)
(5x+4y)
y
64
36
(4x)
Supplementary and Complementary Angles.
10. Two angles are supplementary and one measures 60 less than the other. Find the
of the larger angle.
measure
______ + ___________ = _________
Large x = __________
Small _________ = ______
11. Two angles are complementary. The measure of the larger angle is 5 times the measure of the
smaller angle. Find the measure of the larger angle.
Small: x = __________
Large _________ = ______
______ + ___________ = _________
21
In the diagram, OT bisects SOU,
1) If the mUOV=35, and mYOW=100:
a) Find the mVOW
S

b) Find mZOT

V
U
T

W

O
Z


X
Y
In the diagram, OT bisects SOU,
2) If mSOT = 5x , mTOU= 45, and mVOT = 80:
a) Solve for x
U
T
S

b) Find mSOZ

V

W

O
Z

3) AF bisects RAE, find the value of the variable.

X
Y
R
a) mSAR=6x, mRAE=90-x

S

F

E

A
R
b) mSAR=116, mFAE=2x-8

S

F

E

A
R
c) mSAR=6x-20, mRAF=x+12

S

A

F

E
22
4) AC and BE bisect each other.
a) If AD=12 and AC=4y-36, find the value of y:
E
A
 D
C
B
b) ED=9x-2y, DB=50, AD=32, and DC=6x-2y
E
A
 D
C
B
5) BE bisects CBD and mEBD=10x+5. find the value of x.
C

E
A


B

D
REDO THESE PROBLEMS BECAUSE YOU WILL SEE THEM AGAIN ON YOUR TEST!
BE SURE YOU CAN LOOK AT A SET OF ANGLES IN A DIAGRAM AND FIND LINEAR
PAIRS, VERTICAL ANGLES, AND COMPLEMENTARY AND SUPPLEMENTARY ANGLES!
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Name: ________________________ Date: ______________ Hour: __________
Unit 2 Lesson 1-1 Quiz Review
Use the figure on the right to answer the following:
1) If m  6=72, then m  7= ______
2) If m  8=80, then m  6= ______
6
3) If m  9=110, then m  8= ______
7
8
9
4) If m  9=123, then m  7= ______
5) The sum of m  8 and  9= ______
Use the figure at right to answer true or false:
______ 6)  5 and  6 are a linear pair
______ 7)  5 and  9 are a linear pair
5
______ 8)  5 and  8 are a linear pair
6
9
7
8
______ 9)  5 and  8 are vertical angles
Use the figure below to name the following:
D
E
A
C
B
F
___________________ 10) Congruent Supplementary Angles
___________________ 11) Complementary Angles
___________________ 12) Obtuse Vertical Angles
Solve the following word problem:
13) The measure of one complementary angle is 3 more than 2 times the measure of the other.
Find the measure of both angles:
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Deductive or Inductive Reasoning:
14) Miranda is asked to solve a problem involving linear pairs. She looks up the lesson in the book
and finds out that linear pairs of angles are supplementary, then solves it.
In the following word problems, solve for x:
15 ) AF bisects RAE, find the value of the variable if mSAR=6x and mRAE=90-x
R

S
16)

A

F

E
Use the figure below to solve for x and y: (HINT: Solve for x first and plug-in)
(5x-20)
(3x+8)
(5x+4y)
____________________17) Complementary angles add up to ___ degrees
____________________18) Supplementary angles add up to ___ degrees
____________________19) A linear pairs angles do what?
____________________20) Vertical angles have the _____ measure.
________________________21) Congruent supplementary angles means what?
________________________ 22) Non-congruent complementary angles means what?
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Test Review
Name ______________________
Date _____________ Period____
In the diagram, ABC is a right angle, EBD = 32 (HINT: fill in the measures of all angles)
______1) Find the mCBE
C
E
______2) Find the mABF
A

______3) Find the mFBD

B

D

F
______4) Find the mCBD
______5) Find the mFBE
______6) Find the mABE
Find the value of the variables.
7.
8.
9.
x
y
(4x - 10)
2x - 15
(6x - 30) 5y
45
65
y
(5x)
Supplementary and Complementary Angles.
10. Two angles are supplementary and one measures 40 more than the other. Find the measures of
the both angles.
______ + ___________ = _________
Small: x = __________
Large _________ = ______
11. Two angles are complementary. The measure of the larger angle is 4 times the measure of the
smaller angle. Find the measure of both angles.
Small: x = __________
Large _________ = ______
______ + ___________ = _________
26
In the diagram, OX bisects YOW,
12) If the mYOZ = 25, and mSOU=110:
a) Find the mVOW
S


W

O
b) Find mXOZ
Z


X
Y
In the diagram, OX bisects YOW,
13) If mWOX = 5x , mYOX= 50, and mZOX = 84:
a) Solve for x

V
U
T
S

b) Find mUOV

V
U
T

W

O
Z


X
Y
R
14) In the diagram, AF bisects RAE
a) mSAR=4x; m RAE= 80; Find x

S

F

E

A
R

F

E
b) mSAR=115, mFAE=3x-5; Find x

S

A
R
c) mSAR=114; Find mRAF

S

A

F

E
27
Use the figure on the right to answer the following:
15) If m  6=74, then m  7= ______
16) If m  8=85, then m  6= ______
17) If m  9=50, then m  8= ______
6
7
9
8
32
18) If m  9=60, then m  7= ______
19) The sum of m  6 + _____ + 32= 180
Use the figure at right to answer true or false:
______ 20)  5 and  6 are a linear pair
______ 21)  5 and  7 are a linear pair
5
______ 22)  5 and  8 are vertical angles
9
6
8
7
______ 23)  6 and  8 are vertical angles
Use the figure below to name the following:
___________________ 24) Congruent Supplementary Angles
___________________ 25) Complementary Angles
___________________ 26) Obtuse Vertical Angles
C
B
A
D
F
___________________27) Another Right angle
___________________28) A linear pair with  ABF
E
___________________29) Non-congruent Supplementary angles
28