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.
Name:Date:
Polygon Exterior Angles
For each vertex, use the exterior angle formed by extending one side of the polygon. Assume the polygon is convex and the exterior angles are measured in the same direction. Show your working where needed.
Understand the full turn
Use the idea of turning as you travel around a polygon.
1.You walk around a convex polygon, turning at each vertex until you face the direction you started. What is the sum of the exterior angles?
- 180°
- 270°
- 360°
- It depends on the number of sides
2.At one vertex, an interior angle is 137°. Find its adjacent exterior angle.
3.A regular pentagon has equal exterior angles. Calculate the size of each exterior angle.
4.A regular polygon has an exterior angle of 30°. How many sides does it have?
Solve the polygon puzzles
Use the 360° total to find missing turns, then connect exterior and interior angles.
5.Five exterior angles of a convex hexagon are 48°, 62°, 71°, 55° and 80°. Find the sixth exterior angle.
6.A regular octagon is used in a floor design. Find each exterior angle and each interior angle.
7.True or false? The sum of the interior angles of every convex polygon is 360°. Correct the statement if it is false.
TrueFalse
8.Complete the rule: for a regular polygon with n sides, each exterior angle is degrees.
9.A regular polygon has 15 sides. Find its exterior angle, then find its interior-angle sum.
10.Explain why the exterior angles of a convex polygon add to 360°, even when the polygon is irregular.
2 printable pages
Page 1
Page 2
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
