The 180° Rule

Part of Properties of Triangles · Section 1 of 9

IntroductionUnit: Geometry & MeasuresGCSE

This introduction covers The 180° Rule within Properties of Triangles for GCSE Mathematics. Revise Properties of Triangles in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 3 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 1 of 9 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

The 180° Rule

Every triangle in the universe has angles that add up to exactly 180°. It doesn't matter if it's tiny or massive, flat or tilted - the three angles ALWAYS sum to 180°. This is the most important triangle fact you'll ever learn!

Visual: Types of Triangles

Diagram showing four triangle types: Equilateral (all sides equal, all angles 60°), Isosceles (2 sides equal, 2 angles equal), Scalene (all sides different), Right-angled (one 90° angle)

Tip: Equal sides have matching tick marks, equal angles have matching arcs

Practice questions for Properties of Triangles

What is the sum of the interior angles of any triangle?

  • A. 90°
  • B. 180°
  • C. 270°
  • D. 360°
1 markfoundation

Describe the key properties of an equilateral triangle. State two properties relating to sides and two relating to angles.

2 marksstandard

Quick recall flashcards

Triangle Angle Sum
Always 180°
Isosceles Triangle
Two equal sides, two equal angles

12 questions on Properties of Triangles — practise free

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