Worked Example 3: Exterior Angle

Part of Properties of Triangles · Section 6 of 9

Study NotesUnit: Geometry & MeasuresGCSE

A triangle has interior angles of 55° and 72°. Find the exterior angle at the third vertex.

Step 1 Use the exterior angle theorem

Exterior angle = sum of opposite interior angles

Exterior = 55° + 72° = 127°

This study notes covers Worked Example 3: Exterior Angle 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 6 of 9 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

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

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

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