Geometry & MeasuresStudy Notes

Worked Example 3: Exterior Angle

Part of Properties of TrianglesGCSE Mathematics

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. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 6 of 8 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 6 of 8

Practice

12 questions

Recall

3 flashcards

Worked Example 3: Exterior Angle

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°

Keep building this topic

Read this section alongside the surrounding pages in Properties of Triangles. That gives you the full topic sequence instead of a single isolated revision point.

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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