E4.7.1 Calculate unknown angles and give explanations using the following
Syllabus
0580–2028–2029
Objective
E4.7.1
Level
Extended
E4.7.1 Calculate unknown angles and give explanations using the following
Calculate unknown angles and give explanations using the following geometrical properties of circles: • angle in a semicircle = 90° • angle between tangent and radius = 90° • angle at the centre is twice the angle at the circumference • angles in the same segment are equal • opposite angles of a cyclic quadrilateral sum to 180° (supplementary) • alternate segment theorem. Candidates are expected to use the geometrical properties listed in the syllabus when giving reasons for answers.