This document provides information about angles, including definitions, types of angles, and how to measure them. It begins with a definition of an angle as the portion of a plane between two intersecting lines with a common endpoint. It then describes different types of angles such as acute, obtuse, right, straight, and full rotation angles. The document explains how to measure an angle using a protractor and provides examples of angle exercises and activities.

1. The
Angles

2. What is an angle?
01
Types of angles
02
How do I measure an angle?
03
Activities
04
Table of contents

3. What is an angle?
01

4. What is an angle?
The angle is the portion of the plane
between two ray lines with a common
origin called vertex. Angles start from a
point and have two lines that start from
that point and generate an opening
represented by an arc. The degree of
opening of these arcs (and not their
extension) is represented by the angle.
The line that divides an angle into two
equal parts is called a bisector and any
point on it is equidistant from both sides
of the angle
Angle
Vertex
Bisector

5. Types of angles
02

6. Null
It's the angle
that is 0°
Acute
It’s smaller
than 90º
Straight
It's the angle
that is 180º
Reflex
It’s more
than 180°
Right
It's the angle
that is 90°
Full rotation
It's the angle
that is 360°
Types of angles based on measurement
Obtuse
Between 90°
and 180°

7. They both add up to 180º They both add up to 90º
Types of angle pairs
Supplementary
angles
Complementary
angles

8. Angles according to their position
Consecutive angles
Adjacent angles
Opposite angles
Angles that share a side and vertex
They are consecutive angles and the side they do
not share is part of the same straight line
They are angles that share the vertex but none of
the sides

9. How do I measure
an angle?
03

10. The protractor
To measure the amplitude of an angle, a measuring instrument
called a protractor is needed. The protractor has degrees, can be
circular or semicircular and is usually made of plastic

11. Steps to measure an angle
1 The center of the protractor, which is usually
indicated by a line, should be placed at the vertex
of the angle (the origin of the angle)
3 The graduation of the remaining side is marked on
the protractor and this is the amplitude
2 Then check that one of the sides of the angle
coincides with the base of the protractor

12. Activities
04

13. Exercise 1
Circle the right angles with these circles

14. Exercise 2:
angle vocabulary
1. It is the one that is between 90° and 180°
2. Angles that add up to 90°
3. Angle measuring instrument
4. An angle with 180°
5. Angles that share the vertex, but not the sides
6. It is the one that has 0°
7. Angles that add up to 180°
8. They are angles that share a side and the vertex
9. It is the portion of the plane between two straight
lines with a common origin called vertex
10.It is the angle with 360º
1
2
3
4
5
6
7
8
9
10

15. Exercise 3
Draw the following angles
A right angle Two acute angles Three obtuse angles

16. Exercise 4
Say the name of the angle according to the classification according to its measurement

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