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E4.6 Angles

Syllabus
0580–2028–2029
Topic
E4.6
Level
Extended

E4.6.1 Calculate unknown angles and give simple explanations using the

  • Calculate unknown angles and give simple explanations using the following geometrical properties: • sum of angles at a point = 360° • sum of angles at a point on a straight line = 180° • vertically opposite angles are equal • angle sum of a triangle = 180° and angle sum of a quadrilateral = 360°.

E4.6.2 Calculate unknown angles and give geometric explanations for angles

  • Calculate unknown angles and give geometric explanations for angles formed within parallel lines: • corresponding angles are equal • alternate angles are equal • co-interior angles sum to 180° (supplementary).

E4.6.3 Know and use angle properties of regular and irregular polygons

  • Know and use angle properties of regular and irregular polygons. Knowledge of 3-letter notation for angles is required, e.g. angle ABC. Candidates are expected to use the correct geometrical terminology when giving reasons for answers. Includes exterior and interior angles, and angle sum.

Objective notes

3 learning objectives
ConceptIGCSE Mathematics Extended