This document defines and explains different types of angles including: acute, right, obtuse, and straight angles. It also covers complementary and supplementary angles. Key points include defining complementary angles as those whose sum is 90 degrees and supplementary angles as those whose sum is 180 degrees. Examples are provided of finding complements and supplements of given angle measures.

1. A
B
C
Vertex
Point A
Sides
AB
uuur
AC
uuur
Angle Name
BAC∠
CAB∠
A∠
AngleAngle - A figure formed by two rays and a
common endpoint called a vertex.
Naming AnglesNaming Angles
We name angles using the VERTEX and other letters
around it. The Vertex letter always goes in the center.

2. AnglesAngles
Identify the vertex and name the anglesIdentify the vertex and name the angles
1)1) 2)2)
Angle NameVertex
Point X
( This one has 3 angles!)( This one has 3 angles!)
∠WXZ
∠ZXW
∠X
Angle Name
∠RSQ
∠QSR
∠S
Angle Name
∠TSQ
∠QST
Angle Name
∠RST
∠TSR

3. Angles
that measure
less than 90.
Angles that
measure more than 90
and less than 180.
Angles
that measure
exactly 90.
Types of AnglesTypes of Angles
Acute -
Right -Right - Angles
that measure
exactly 180.
ObtuseObtuse -
Straight -Straight -

4. Angles that
measure less than 90.
Angles that
measure more than 90
and less than 180.
Angles that
measure exactly 90.
Acute -
Right -Right -
Angles that
measure exactly 180.
ObtuseObtuse -
Straight -Straight -
Types of AnglesTypes of Angles

5. Types of AnglesTypes of Angles
Identify the type of angle.Identify the type of angle.
1)1) 3)3)
2)2) 4)4) Acute
Angle
Right
Angle
Straight
Angle
Obtuse
Angle

6. Now watch this….Now watch this….
• BrainPop

7. Complementary Angles
a
b
- Angles whose sum is 90
m a m b 90∠ + ∠ = °
x y
m x m y 90∠ + ∠ = °
Complementary angles may not be adjacent.
Complementary AnglesComplementary Angles
Example: The
complement would be
90 – 40 =50

8. Find the complement of the angle measures below.
1) 30
2) 49
3) 80
4) 100
6060
4141
1010
Has no complementHas no complement
Angles can’t be negative.Angles can’t be negative. Think about it!Think about it!

9. Supplementary AnglesSupplementary Angles
k
t
- Angles whose sum is 180 .
m k m t 180∠ + ∠ = °
b
c
m b m c 180∠ + ∠ = °
Supplementary angles may not be adjacent.
Supplementary anglesSupplementary angles
need to add up to 180need to add up to 180
because that is thebecause that is the
definition.definition.
Example: To find theExample: To find the
supplementsupplement, 180-110 =, 180-110 = 7070

10. Find the supplement of the following...
1) 18
2) 104
3) 158
4) 75
162162
7676
2222
105105

11. Lesson QuizLesson Quiz
2. Name a right angle in the figure.
3. Name a pair of complementary angles.
1. Name two lines in the figure.
Possible answer: ∠AGF
Possible answer: ∠1 and ∠2
Possible answer: AD and BE