The document provides an overview of naming angles and their types in a grade 7 mathematics curriculum. It explains the concept of angles formed by two non-collinear rays, including how to measure angles using degrees and a protractor. The document also categorizes angles as acute, right, or obtuse and provides examples for identifying and naming angles.

1. Grade 7 – Mathematics
Quarter III
NAMING ANGLES AND
ITS KINDS

2. Prepared by:
Jo-Ann E. Rogon

3. Draw and label the following.
1. Ray BA 𝑩 𝑨
2. Ray BC 𝑩 𝑪
3. 𝑩𝑨 and 𝑩𝑪 are
opposite rays.
𝑨 𝑪B
collinear

4. Can you make the figure non-collinear?
𝑨 𝑪B collinear
ANGLE

5. ANGLES
Naming an Angle
Kinds of Angle

6. Angle
•An Angle is a
figure formed
by two non-
collinear rays
with a common
endpoint, called
the vertex.
𝑩𝑨 and 𝑩𝑪
𝒗𝒆𝒓𝒕𝒆𝒙 𝑩
rays C
vertex
B
A

7. Angle
•Degrees ( ° ) – the unit used in
measuring an angle. Ex: 78°
• Protrator – the device used in
measuring an angle.
• ∠ - symbol

8. Angle and Points
⚫Angles can
have points in
the interior, in
the exterior or
on the angle.
raysvertex
D E
F
A
B
C

9. Naming An Angle
⚫Using 3 points
⚫Using the vertex
⚫Using a number
or letter.
A
C
B
vertex
B 1
∠ ABC or ∠ CBA
∠ B
∠ 1

10. Using 3 points:
∠ZXY or ∠YXZ
∠ZXW or ∠WXZ
∠WXY or ∠YXW
Note: Using the
vertex is for only one
angle. Therefore,
there is no ∠ X in this
figure.
Using the number or
letter: ∠ 1 and ∠ 2
Name the angles.
vertex
2
W
Y
X
Z
1

11. ⚫Using 3 points
⚫Using the vertex
⚫Using a number
or letter.
W
Y
X
vertex
X 3
∠WXY or ∠YXW
∠ X
∠ 3
𝑿𝑾 and 𝑿𝒀It’s your turn!

12. KINDS OF ANGLES
Acute Angle:
- an angle whose measure is
greater than 0° but less than 90.
Right Angle:
- an angle whose
measure is exactly 90 .

13. KINDS OF ANGLES
Obtuse Angle:
- an angle whose measure is greater than
90  but less than180.

14. Complete the table. Name the angle and
identify its kind.
Name
of
Angle
Vertex
Rays
(sides)
Kinds
of
Angle
W
Y
X
Z

15. Name of
Angle Vertex
Rays
(sides)
Kinds of
Angle
W
Y
X
Z
∠𝐖𝐗𝐘 X Right
∠𝐙𝐗𝐘 X 𝑿𝒁 and 𝑿𝒀 Obtuse
∠𝐙𝐗𝐖 X 𝑿𝒁 and 𝑿𝑾 Acute
𝑿𝑾 and 𝑿𝒀

16. Do you see angles in
the carousel?
Acute Angle
Right Angle
Obtuse Angle

17. Thank You!