What are the Basic Angle Properties- Help with IGCSE GCSE Maths

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Basic Angle properties

You perhaps already know that a full turn contains 360 degrees. But do you also know why there are 360 degrees in a full turn and therefore 180 degrees on a straight line? Why did we ever decide upon 360 degrees rather than an 'easier' number like 100 or 10? The following video will explain to you why and will give you some interesting background information which will help you to understand and appreciate maths even more.

What are Vertically Opposite Angles and why are they Equal

The next video will show you some very important angle properties. You will learn what Vertically Opposite Angles are and you will also understand why Vertically Opposite Angles are equal. Your understanding of Vertically Opposite Angles will most likely be examined on your IGCSE GCSE maths exam. Make sure to remember the term 'vertically opposite' for you might be asked on your maths exam to explain in words why an angle has a particular size. Study the following video therefore carefully during your maths revision

What are Alternate and Corresponding Angles - Angles and Parallel Lines

The following example question will show you what Alternate and Corresponding angles are. You will learn that Alternate Angles are unofficially called Z-angles and Corresponding Angles are called F-angles. But you need to know the official terms Alternate and Corresponding Angles for on your maths exam you might have to explain in words why an angle has a particular size. Alternate and Corresponding Angles are created when one straight line intersects a pair of parallel lines. Have a look at the maths activity and learn step by step what alternate and corresponding angles are.

Why are there 180 degrees in a Triangle and 360 degrees in a Quadrilateral

Perhaps you already know that a Triangle has 180 degrees and a quadrilateral 360 degrees. By the way, it is better to say the sum of the interior angles of a triangle equals to 180 degrees and the sum of the interior angles of a quadrilateral equals to 360 degrees (please click here to learn more about interior and exterior angles). But do you also know WHY the sum of the interior angles of a triangle equals to 180 degrees? Have a look at the next maths video and find out! It is an experiment which you can try yourself at home and you will see why the sum of the interior angles of a triangle equals to 180 degrees. Have fun and good luck!

Congratulations. You have learned some very important geometry lessons. You understand now many important properties of angles. Continue with your maths revision and follow the link below. Here I will explain to you what interior and exterior angles are. You will also learn about the sum of the interior and exterior angles. I hope to see you there!

Learn more Maths!

Check this selection of links during your maths revision too!

Functions

learn how to construct geometrical figures like polygons and bisectors

Geometrical Construction

Significant Figures

Reflections

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Equation of Horizontal and Vertical Lines

Speed Time Graphs

$learn how to work with fractions and decimals$

Fractions and Decimals