MathsFreePrintable
Polygon Exterior Angles
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Polygon Exterior Angles
🎯 WALT: We Are Learning To understand exterior angles of polygons
Success Criteria: I can identify exterior angles, calculate missing angles, and explain why the sum is always 360°
1. What is the sum of exterior angles for ANY polygon?
180°
360°
540°
It depends on the number of sides
2. In a regular pentagon, what is each exterior angle?
36°
72°
108°
120°
3. A quadrilateral has exterior angles of 95°, 85°, and 90°. What is the fourth exterior angle?
Answer: _______°
4. Which statements about exterior angles are true? (Tick all that apply)
An exterior angle and its adjacent interior angle sum to 180°
Exterior angles are always acute
The sum of exterior angles equals 360° for any polygon
Regular polygons have equal exterior angles
✏️ Problem Solving & Reasoning
5. A regular octagon has how many degrees in each exterior angle? Show your working.
6. An irregular hexagon has five exterior angles: 45°, 72°, 83°, 61°, and 55°. Find the sixth exterior angle.
7. Explain in your own words why the sum of exterior angles is always 360° for any polygon.
8. Extension Challenge: If a regular polygon has exterior angles of 24°, how many sides does it have? What type of polygon is this?
Number of sides: _______ Type of polygon: _____________
🌟 Investigation Activity
9. Drawing Challenge: Draw any irregular quadrilateral below. Mark and label all four exterior angles. Verify that they sum to 360°.
10. Extension: Research and explain the relationship between the number of sides (n) and each exterior angle in a regular polygon. Write a formula.
Formula: Each exterior angle = _____________
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
