Worked Example 3: Finding Number of Sides
This study notes covers Worked Example 3: Finding Number of Sides within Angles in Polygons for GCSE Mathematics. Revise Angles in Polygons in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 6 of 10 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 10
Practice
12 questions
Recall
3 flashcards
Worked Example 3: Finding Number of Sides
A regular polygon has an exterior angle of 30°. How many sides does it have?
Step 1 Use the exterior angle formula
Exterior angle = 360° ÷ n
30° = 360° ÷ n
Step 2 Rearrange and solve
n = 360° ÷ 30°
n = 12 sides (dodecagon)
Keep building this topic
Read this section alongside the surrounding pages in Angles in Polygons. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Angles in Polygons
What is the sum of the interior angles of a hexagon?
Explain how the formula (n − 2) × 180° for the sum of interior angles of a polygon is derived.
Quick Recall Flashcards
12 questions on Angles in Polygons — practise free
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