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Interior and exterior angles in regular polygons worksheet (with solutions)

Interior and exterior angles in regular polygons worksheet (with solutions)

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

9 August 2026

pdf, 79.18 KB
pdf, 79.18 KB

A worksheet on calculating the interior and exterior angle sum of regular polygons and the measure of each interior and each exterior angle of regular polygons. Detailed solutions are provided.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

Interior and Exterior Angles in Triangles & Polygons Geometry Worksheets

A collection of three worksheets on the following topics: * Sum of angles in a triangle: a worksheet on evaluating the third angle in a triangle given the other two using the fact that their sum is 180 degrees * Exterior Angles of a Triangle: a worksheet on the exterior angles of a triangle. The exercises require to use the fact that an exterior angle of a triangle is equal to the sum of the two interior opposite angles. * Interior and exterior angles in regular polygons: a worksheet on calculate the interior and exterior angle sum of regular polygons and the measure of each interior and each exterior angle of regular polygons. Detailed solutions are provided. Master interior and exterior angles with this comprehensive, ready-to-print geometry maths worksheet bundle! Perfect for KS3, KS4, and GCSE Maths classrooms, this 3-resource collection includes fully worked step-by-step solutions to save you valuable marking time. ________________________________________ Help your secondary maths students conquer geometric properties with this no-prep angles in triangles and polygons worksheet bundle! This collection features three carefully scaffolded, rigorous resources designed to take students from foundational angle rules to advanced multi-step geometric problem-solving. Whether you need targeted homework assignments, no-prep cover plans, extension tasks, or comprehensive exam revision, these printable activities provide clear, structured practice that fits seamlessly into any secondary school maths curriculum. **What’s Included in This Bundle?** This cost-saving bundle contains three complete worksheets, each including its own detailed, step-by-step fully worked solutions: **1. Sum of Angles in a Triangle Worksheet** o 10 multi-step problems calculating missing interior angles. o Promotes algebraic setup to find unknown variables. **2. Exterior Angle Theorem Worksheet** o 6 scaffolded questions applying the exterior angle rule. o Includes challenging application problems involving isosceles and equilateral triangles. **3. Interior and Exterior Angles in Regular Polygons Worksheet** o 13 advanced questions focusing on regular polygon properties. o Covers finding interior angle sums, individual interior/exterior angles, and determining the number of sides of polygons (ranging from pentagons to 36-gons). **Core Skills Covered:** • Applying the triangle angle sum rule (interior angles add up to 180 degrees). • Utilizing the exterior angle theorem to solve geometric diagrams. • Working with angles on a straight line and supplementary linear pairs. • Calculating interior and exterior angle measures for various regular polygons using standard geometric formulas. • Formulating and solving multi-step algebraic equations based on visual geometric properties. **Perfect For:** • Key Stage 3 (KS3) Math Classes (Years 7–9) • Key Stage 4 (KS4) & GCSE Foundation and Higher Tiers • IGCSE & International Baccalaureate (IB) Maths Prep • Homework, Classwork, Cover Work, or Exam Revision **Exam Board Alignment:** • Excellent preparation for Edexcel, AQA, OCR, and Cambridge International (CIE) specifications covering properties of polygons, angles, and geometric reasoning. ________________________________________

£2.90
Bundle

GCSE Maths-Geometry Revision Pack

A bundle of 10 worksheets (with detailed solutions) on Geometry topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities. The topics covered by these worksheets include: * Angles in parallel lines * Complementary, supplementary and opposite angles * Sum of angles in a triangle * Interior and exterior angles in regular polygons * Units of measurement for area and volume * Area of trapezium * Circumference and area of a circle * Area and volume of a sphere * Volume and surface area of a cone * Density The pack is ideal for use in revision sessions or for individual study. The solutions provided are very clear and explanatory.

£7.90

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