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Learning objective

1. Determine unknown angles and provide basic explanations using these geometric properties: the total of angles around a point is 360°, the total of angles on a straight line is 180°, vertically opposite angles are equal, the angle sum in a triangle is 180°, and in a quadrilateral is 360°. 2. Find unknown angles and explain geometrically the angles created by parallel lines: corresponding angles are equal, alternate angles are equal, and co-interior angles add up to 180° (supplementary). 3. Understand and apply the angle properties of regular polygons, including both exterior and interior angles, as well as the angle sum.

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  • Practise with linked questions.
Cambridge IGCSE MathematicsCore Geometry

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Quick explanation

1. Determine unknown angles and provide basic explanations using these geometric properties: the total of angles around a point is 360°, the total of angles on a straight line is 180°, vertically opposite angles are equal, the angle sum in a triangle is 180°, and in a quadrilateral is 360°. 2. Find unknown angles and explain geometrically the angles created by parallel lines: corresponding angles are equal, alternate angles are equal, and co-interior angles add up to 180° (supplementary). 3. Understand and apply the angle properties of regular polygons, including both exterior and interior angles, as well as the angle sum

  • This point belongs to Angles, especially Angles outcomes.
  • You need to be able to 1. Determine unknown angles and provide basic explanations using these geometric properties: the total of angles around a point is 360°, the total of angles on a straight line is 180°, vertically opposite angles are equal, the angle sum in a triangle is 180°, and in a quadrilateral is 360°. 2. Find unknown angles and explain geometrically the angles created by parallel lines: corresponding angles are equal, alternate angles are equal, and co-interior angles add up to 180° (supplementary). 3. Understand and apply the angle properties of regular polygons, including both exterior and interior angles, as well as the angle sum.
  • The key ideas to know are Calculate, Give, and Explain.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateGiveExplainDetermine

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Paper 2 structured question: Angles

Paper 2Core or Extended Mathematics1 marks

Description

Angle Calculation

In a triangle, one angle measures 50° and another measures 60°. Calculate the measure of the third angle.

  1. a

    Calculate the measure of the third angle in the triangle.

    Aim for approximately 1 distinct marking point.

    [1]
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