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.
Have a look at the following video for another example on naming angles.
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
The following video will show you 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
The following video illustrates 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.
You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.
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