
Exploring Angle Pairs in Geometry
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
15 Slides • 22 Questions
1
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SLIDESMANIA.COM
Lesson 1-5:
Exploring Angle
Pairs
Objective: SW identify
special angle pairs and
use their relationships
to find angle measures.
2
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SLIDESMANIA.COM
Congruent Angles
Angles with the same measure are congruent angles. This
means that if m∠A = m∠B, then ∠A ≅∠B. You can also
say that if ∠A ≅∠B, then m∠A = m∠B.
You can mark angles with arcs to
show that they are congruent.
If there is more than one set of
congruent angles, each set is
marked with the same number
of arcs.
3
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Types of
Angle pairs
4
Common side and a
Common vertex.
Adjacent
Angles have a:
5
6
Multiple Select
Which are pairs of adjacent angles? Select all that apply.
∠1 & ∠3
∠2 & ∠3
∠1 & ∠2
7
Multiple Choice
True or False
Angles 1 and 2 are adjacent angles.
True
False
8
Multiple Select
Which angles are adjacent with ∠8 ?
∠1
∠6
∠7
∠5
∠9
9
Are opposite from each other and
Are congruent.
Vertical Angles:
10
Multiple Choice
Which are pairs of vertical angles?
∠COB & ∠COA
∠AOD & ∠AOC
∠COB & ∠AOD
∠BOD & ∠AOD
11
Multiple Choice
If m∠1 = 30°, then m∠3 =
30°
60°
150°
undetermined
12
Multiple Choice
Which angle is vertical angle to ∠7 ?
∠1
∠5
∠3
∠6
∠9
13
Multiple Choice
Which angles are vertical angles?
∠8 & ∠7
∠8 & ∠6
∠8 & ∠5
14
15
Multiple Choice
Which angle is complementary to ∠LJM ?
*Also called the complement of angle LJM.
∠MJN
∠NJP
∠FGE
∠LJK
16
Fill in the Blanks
Complementary angles always add up to
17
Multiple Choice
Find the missing angle.
53
67
77
43
18
19
Fill in the Blanks
Supplementary angles always add up to
20
Multiple Choice
How are these angles related?
Vertical
Complementary
Adjacent
Supplementary
21
Multiple Choice
What term is used to describe a pair, or group, of angles that equal 180 degrees?
Supplementary Angles
Complementary Angles
Vertical Angles
Congruent Angles
22
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23
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SLIDESMANIA.COM
Making Conclusions From a Diagram
Can you conclude the following information from the diagram?
1. ∠1 ≅∠2 by the markings
2. ∠2 and ∠4 are vertical angles
3. ∠3 and ∠5 are vertical angles
4. ∠1 and ∠5 are adjacent angles
5. ∠1 and ∠2 are adjacent angles
6. ∠3 and ∠4 are adjacent supplementary angles
24
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SLIDESMANIA.COM
Postulate 1-9
Linear Pair Postulate
If two angles form a linear pair, then they are
supplementary.
A linear pair is a pair of adjacent
angles whose noncommon sides
are opposite rays. The angles of
a linear pair form a straight
angle.
25
26
Multiple Choice
A straight angle equals...
45 degrees
90 degrees
180 degrees
360 degrees
27
Multiple Select
What kind of angles are these? (Choose all that apply)
complementary
supplementary
right
linear pair
28
Multiple Choice
Name a pair of angles that form a linear pair.
Angles 1 and 2
Angles 2 and 4
Angles 5 and 8
Angles 9 and 10
29
Multiple Choice
Find the m∠3.
28
152
180
62
30
Drag and Drop
m∠KPL =
31
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Angle Bisector
An angle bisector is a
ray that divides an angle
into two congruent
angles.
32
Multiple Choice
Ray AC bisects ∠DAB. Find m∠CAB and ∠DAB.
m∠CAB = 58, m∠DAB = 116
m∠CAB = 58, m∠DAB = 58
m∠CAB = 29, m∠DAB = 58
m∠CAB = 29, m∠DAB = 29
33
Fill in the Blanks
In the figure at the left, ray AB is the angle bisector of ∠CAD. Solve for x.
x =
34
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In the question below, ray AB is the angle bisector of
∠CAD. Solve for the missing variable.
35
Audio Response
In the figure at the left, ray AB is the angle bisector of ∠CAD. Solve for the missing variable.
x = _____

36
Multiple Choice
Angle GHJ measures 161⁰. Ray HK bisects ∠GHJ. Find m∠GHK and m∠KHJ.
m∠GHK=80.5,
m∠KHJ=161
m∠GHK=161,
m∠KHJ=80.5
m∠GHK=80.5,
m∠KHJ=80.5
m∠GHK=161,
m∠KHJ=161
37
SLIDESMANIA.COM
SLIDESMANIA.COM
SLIDESMANIA.COM
Lesson 1-5:
Exploring Angle
Pairs
Objective: SW identify
special angle pairs and
use their relationships
to find angle measures.
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