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AnglesGrade 7 – Mathematics
• An angle is defined as the amount of turn
between two rays that share a common
end point.
• Angles are measured in degrees
Angles 90°
Let’s identify the
parts of an
angle!
T X
Let’s identify the
parts of an
angle!
V E R T E X
Let’s identify the
parts of an
angle!
R
Let’s identify the
parts of an
angle!
A R M S
Let’s identify the
parts of an
angle!
D G
Let’s identify the
parts of an
angle!
D E G R E E S
the common
point where
the two rays
meet
vertex
the rays that
make up the
angle
arms
the measure
of the size of
an angle
degrees
Naming Angles
1
One way is to use
the ∠ symbol followed
by three letters.
The first and third
letters indicate points
on the two arms.
The letter in the middle
is the vertex.
∠ __ __
__
A B C
∠ __ __
__
C B A
Naming Angles
using the ∠ symbol
only with the vertex
point.
The angle would
be called ∠B.
by using the ∠ symbol
followed by the letter
or number between
the angle.
This would be ∠1.
1
∠ABC
∠CBA
∠CAB
∠BCA
∠B ∠1
4 5
?
?
?
?
?
?
?
?
?
Kinds of Angles
acute
angle
less than 90°
obtuse
angle
more than 90°
less than 180°
right
angle
exactly to 90°
Kinds of Angles
reflex
angle
more than 180°
Full
rotation
exactly 360°
straight
angle
exactly to 180°
acute right
obtuse straight
Protractor
A tool that is used to measure angles.
outer
scale
inner
scale
center
Measuring Angles
Place the center of the protractor on the vertex B
A
B C
Measuring Angles
Place the center of the protractor on the vertex B
A
B C
Adjust the 0° baseline of the protractor so that it lines
up with line BC
Measuring Angles
Place the center of the protractor on the vertex B
A
B C
Adjust the 0° baseline of the protractor so that it lines
up with line BC
Since the angle is acute and the 0° line or baseline was used
from the right, you will take the reading from the inner scale
30°
Measuring Angles
Measuring Angles
Measuring Angles
Measuring Angles
Measuring Angles
Let’s Review!
These are angles whose
measure is exactly 90°
acute obtuse
right straight
Let’s Review!
(90° + 45°) is what kind
of angle?
acute obtuse
right straight
Let’s Review!
It is the sum of
two right angles.
acute obtuse
right straight
Let’s Review!
These are the rays that
make up the angle.
degrees arms
points vertex
Let’s Review!
It is the common point
where the two rays meet.
degrees arms
points vertex
Let’s Review!
It is the measure of
the size of an angle
degrees arms
points vertex
Let’s Review!
If the points A and B are the arms,
what is the name of the angle if
point C is the vertex?
∠ ABC ∠ CBA
∠ BAC ∠ ACB
Let’s Review!
How many ways
can you name the
angles on this
picture?
9 10
12 13
Let’s work together!
It is the only animal
that have fingerprints.
5 3 2 14
A – 20°
D – 60°
E – 35°
G – 110°
K – 155°
L – 120°
N – 160°
O – 145°
P – 25°
Let’s work together!
It is the only animal
that have fingerprints.
A L AOK
5 3 2 14
A – 20°
D – 60°
E – 35°
G – 110°
K – 155°
L – 120°
N – 160°
O – 145°
P – 25°
What is the measure of the angle?
20°
20°
What is the measure of the angle?
145°
What is the measure of the angle?
What is the measure of the angle?
120°
What is the measure of the angle?
155°
Assignment
Search for the following terms and
formulas. Write your answers on your
notebook.
1. Time
2. A.M.
3. P.M.

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