Internal and external

Explore Internal and external.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

Terminology

  • Interior angle
  • Exterior angle
  • Regular polygon
  • Irregular polygon
  • Linear pair

Task goals

  • Calculate the sum of the interior angles of any polygon using $(n-2) \times 180°$.
  • Calculate the sum of the exterior angles of any polygon, and recall that it is always $360°$.
  • Find the size of each interior angle of a regular polygon.
  • Find the size of each exterior angle of a regular polygon.
  • Use a known interior or exterior angle to find the number of sides of a regular polygon.
  • Use the fact that an interior angle and its exterior angle form a linear pair (sum to $180°$) to find a missing angle.

Key skills

  • Calculate interior angle sum of polygon
  • Calculate exterior angle sum of polygon
  • Find interior angle of regular polygon
  • Find exterior angle of regular polygon
  • Find number of sides from an angle
  • Apply linear pair relationship between interior and exterior angles

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included