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.
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°
Practice questions for Properties of Triangles
What is the sum of the interior angles of any triangle?
Describe the key properties of an equilateral triangle. State two properties relating to sides and two relating to angles.