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Maths Gcse Aqa Foundation

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Exam code:8300

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

Vertically opposite angles

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.

Basic angle properties worked example question

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

<img alt=

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