In these lessons, we will learn the following:
- How to form an Angle
- Naming an Angle
- Measuring Angles with a protractor
- Angles around a point (with worksheets)
More Geometry Lessons
How to form an Angle
In geometry, an angle consists of two
that share the same endpoint. The point
where the rays intersect is called the vertex of the angle.
The two rays are called the sides of the angle.
Naming An Angle
You can name an angle by specifying three points: two on the rays
and one at the vertex.
The angle below may be specified as angle ABC or ∠ABC.
The vertex point is always given in the middle.
How to name an angle?
The vertex is the point where the two rays meet to form an angle.
Angles can be named in three ways:
1. By three capital letters, with the vertex letter in the middle. ∠ABC or ∠CBA
2. By one capital letter ∠B. This can only be used if ∠B is the only angle it could be.
3. By one lower case letter or number written in the middle of the angle.
Have a look at the following video for another example on naming angles
Name the vertex and and sides of ∠4, and give all possible names for ∠4.
The size of an angle is measured in degrees with the use of a protractor.
straight line has an angle of 180°
for Angles in a straight line
How to use a protractor to measure an angle?
How to Measure a Reflex Angle Using a Protractor?
Angles Around A Point
The sum of angles around a point will always be 360 degrees.
In the diagram above, the sum of the angles is 70° + 55° + 50°
+ 65° + 120° = 360°
Example 1: Given the diagram below, determine the value of the
Step 1: Get the sum of the known angles.
30° + 65° + 150° + 73° = 318°
Step 2: Subtract sum of known angles
360° 318° = 42°
Answer: Angle a is
Worksheets for Angles Around a Point
What are angles around a point?
It will also give some examples of finding angles around a point.
Problem Solving: Angles Around a Point
This video discusses relationships among angles around a point.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
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