Angles-Around-Points-And-Lines Wjec-Eduqas Foundation

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Exam code:C300

Basic angle properties

What are the basic angle properties?

Angles around a point add up to 360°
Angles that form a straight line add up to 180°
Vertically opposite angles are equal
- Vertically opposite angles occur when two lines intersect, as in the diagram below

Examiner Tips and Tricks

Use the angle properties to find any missing angles that you can, and mark them on the diagram
- Even if they are not the angle you are trying to find, they may help provide a clue!

Worked Example

The diagram below shows three straight lines intersecting at a point.

Find the values of $x$ and $y$ .

Vertically opposite angles between two intersecting lines are equal

$x space equals space 25$

Angles that meet on a straight line add up to 180°

$table row cell x space plus space y space plus space 98 space end cell equals cell space 180 space end cell row cell 25 space plus space y space plus space 98 space end cell equals cell space 180 end cell row cell 123 space plus space y space end cell equals cell space 180 end cell end table$

Solve to find $y$

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Maths Gcse Wjec-Eduqas Foundation

Angles-Around-Points-And-Lines Wjec-Eduqas Foundation

Basic angle properties

What are the basic angle properties?

Examiner Tips and Tricks

Worked Example

Responses